In the spirit of taking a few big swings, I'd work my way through this list, which attempts to take into account the obvious criteria (fit at Stanford, ability to sell/recruit at Stanford, ability to hire/retain/motivate/lead the people who comprise a winning football organization, etc.):
1) Dabo Swinney: I know it's a silly suggestion but I think it would be incredible and you don't make shots you don't take
2) Dan Quinn: Our chance at a Pete Carroll to USC kind of phenomenon and I'd be so freaking excited about what it would mean for the defense
3) Bill O'Brien: Open to being disabused by those in the know but I see fit and competence everywhere I look from the Ivy League pedigree, coaching at two different high academic Power Five schools, having a winning record as a head coach in college and the NFL, and serving the best apprenticeship in the sport
4) Jason Garrett: Big, unlikely shot but he's a very good coach who might be a fit
5) Dave Clawson: Many will play up the fit of somebody who's coached at Wake Forest and high-academic lower-level schools and went to Williams and that's a big part of the appeal, but what does it for me is winning wherever he goes at multiple levels (Fordham, Richmond, Bowling Green, Wake Forest) as that is exactly the mark of the best coaches (Saban, Meyer, Kelly, Harbaugh, etc.)
6) Jeff Brohm: Another multi-stop winner who has a Power Five program the best they've been in a decade and a half and, significantly to me, has had them above-average on both sides of the ball for a few years in a row now
7) Chris Petersen: Sparkling head coaching record at two different schools and dream fit in terms of values/personality/etc. but lower on my list than on most people's list because I can't fully shake the risk he won't have the same drive and/or has been away just a bit too long (but I still think this is a placement on the list befitting how excited I'd be)
8) Chris Klieman: Multi-level winner I think highly of and think could be a fit but have less of a sense of than I do with some above
9) PJ Fleck: Yet another multi-stop proven winner with a scrappiness relevant for a rebuild, especially at a quality but non-top tier program, and brings the kind of culture building I want with whoever we get
10) Matt Campbell: Opinions evidently differ but I think his Toledo and Iowa State track records are both extremely impressive notwithstanding this season's disappointment
11) Troy Taylor: Transcendently spectacular track record at Sacramento State and our chance at a Jim Harbaugh/Art Briles kind of hire but FCS to Power Five is a gigantic leap that aside from Harbaugh doesn't have much track record of working for big turnaround projects like this
12) Brent Brennan: I'm a really big fan and think he's our chance at an up-and-comer, just don't think he's as established as those above
13) Deion Sanders: Yes, I know the drama would be too rich for most people's blood at Stanford but this would be instant recruiting/excitement/relevance and it's extremely notable that despite the circus he has Jackson State absolutely rocking
14) Dave Aranda: Very intriguing potential sweet spot between a decently big name/splash and Stanford fit but I don't know what to make of his roller coaster track record at Baylor
15) Jamey Chadwell: So far the last couple of years he seems to be the big loser in the coaching carousel, which I can only imagine owes to having never spent a day of his life in a Power Five program, but jeez 39-21 as an FBS head coach makes me think this is a stud waiting for an opportunity.....I have no idea if the Stanford fit is even plausible but if it were he could arguably shoot way up the list
16) Curt Cignetti: I'll admit to being age-ist (or at least bowing to conventional wisdom on coaching hires against some of my instincts) as if he were 51 rather than 61 I would giddily have him in my top five, such is my massive man crush on everything about the James Madison football program and Cignetti's three-level dominance (.761 winning percentage over 12 years, including 8-3 in JMU's first FBS season)
17) Jim Leonhard: He now has half a year of head coaching experience so isn't a pure coordinator promotion untested guy and him being jilted at the altar by his alma mater may open up an opportunity to get one of the hottest coordinators in the sport in recent years, which isn't a model I love for head coach hires but Leonhard reputedly has the right attributes and I'm head over heels in love with the idea of bringing the Wisconsin defense to Stanford
18) Charles Huff: He'll be riper for plucking by a Power Five school in another year or three but he's done a credible job two years in at Marshall and was mentored by James Franklin and Nick Saban
19) Lance Taylor: As should be abundantly clear from my list, I have an extreme prejudice against candidates without head coaching experience, just think it's generally a fairly silly thing for a Power Five program to do....but if we were to go that route Taylor makes a lot of sense to me as somebody who coached and recruited effectively at Stanford under Shaw as well as at several other Power Five programs (including his year as offensive coordinator at Louisville on the front lines of the NIL and transfer landscape), and apprenticed for an insanely impressive assortment of masters in Nick Saban, Jerry Moore (Hall of Fame FCS coach for those who don't know), Rex Ryan, Ron Rivera, David Shaw, and Brian Kelly
20) Jesse Minter: The other exception I'd make to my aversion to coordinators, in light of his pedigree learning from Brian Kelly, John Harbaugh, and Jim Harbaugh and the high confidence I'd have on the impact on the defense
21) Jim Mora: I know many will hate this inclusion but he's already turned around a Pac-12 program (albeit then fizzling a half decade in) and this year did a remarkable instant turnaround of one of the worst programs in FBS
1) Dabo Swinney: I know it's a silly suggestion but I think it would be incredible and you don't make shots you don't take
2) Dan Quinn: Our chance at a Pete Carroll to USC kind of phenomenon and I'd be so freaking excited about what it would mean for the defense
3) Bill O'Brien: Open to being disabused by those in the know but I see fit and competence everywhere I look from the Ivy League pedigree, coaching at two different high academic Power Five schools, having a winning record as a head coach in college and the NFL, and serving the best apprenticeship in the sport
4) Jason Garrett: Big, unlikely shot but he's a very good coach who might be a fit
5) Dave Clawson: Many will play up the fit of somebody who's coached at Wake Forest and high-academic lower-level schools and went to Williams and that's a big part of the appeal, but what does it for me is winning wherever he goes at multiple levels (Fordham, Richmond, Bowling Green, Wake Forest) as that is exactly the mark of the best coaches (Saban, Meyer, Kelly, Harbaugh, etc.)
6) Jeff Brohm: Another multi-stop winner who has a Power Five program the best they've been in a decade and a half and, significantly to me, has had them above-average on both sides of the ball for a few years in a row now
7) Chris Petersen: Sparkling head coaching record at two different schools and dream fit in terms of values/personality/etc. but lower on my list than on most people's list because I can't fully shake the risk he won't have the same drive and/or has been away just a bit too long (but I still think this is a placement on the list befitting how excited I'd be)
8) Chris Klieman: Multi-level winner I think highly of and think could be a fit but have less of a sense of than I do with some above
9) PJ Fleck: Yet another multi-stop proven winner with a scrappiness relevant for a rebuild, especially at a quality but non-top tier program, and brings the kind of culture building I want with whoever we get
10) Matt Campbell: Opinions evidently differ but I think his Toledo and Iowa State track records are both extremely impressive notwithstanding this season's disappointment
11) Troy Taylor: Transcendently spectacular track record at Sacramento State and our chance at a Jim Harbaugh/Art Briles kind of hire but FCS to Power Five is a gigantic leap that aside from Harbaugh doesn't have much track record of working for big turnaround projects like this
12) Brent Brennan: I'm a really big fan and think he's our chance at an up-and-comer, just don't think he's as established as those above
13) Deion Sanders: Yes, I know the drama would be too rich for most people's blood at Stanford but this would be instant recruiting/excitement/relevance and it's extremely notable that despite the circus he has Jackson State absolutely rocking
14) Dave Aranda: Very intriguing potential sweet spot between a decently big name/splash and Stanford fit but I don't know what to make of his roller coaster track record at Baylor
15) Jamey Chadwell: So far the last couple of years he seems to be the big loser in the coaching carousel, which I can only imagine owes to having never spent a day of his life in a Power Five program, but jeez 39-21 as an FBS head coach makes me think this is a stud waiting for an opportunity.....I have no idea if the Stanford fit is even plausible but if it were he could arguably shoot way up the list
16) Curt Cignetti: I'll admit to being age-ist (or at least bowing to conventional wisdom on coaching hires against some of my instincts) as if he were 51 rather than 61 I would giddily have him in my top five, such is my massive man crush on everything about the James Madison football program and Cignetti's three-level dominance (.761 winning percentage over 12 years, including 8-3 in JMU's first FBS season)
17) Jim Leonhard: He now has half a year of head coaching experience so isn't a pure coordinator promotion untested guy and him being jilted at the altar by his alma mater may open up an opportunity to get one of the hottest coordinators in the sport in recent years, which isn't a model I love for head coach hires but Leonhard reputedly has the right attributes and I'm head over heels in love with the idea of bringing the Wisconsin defense to Stanford
18) Charles Huff: He'll be riper for plucking by a Power Five school in another year or three but he's done a credible job two years in at Marshall and was mentored by James Franklin and Nick Saban
19) Lance Taylor: As should be abundantly clear from my list, I have an extreme prejudice against candidates without head coaching experience, just think it's generally a fairly silly thing for a Power Five program to do....but if we were to go that route Taylor makes a lot of sense to me as somebody who coached and recruited effectively at Stanford under Shaw as well as at several other Power Five programs (including his year as offensive coordinator at Louisville on the front lines of the NIL and transfer landscape), and apprenticed for an insanely impressive assortment of masters in Nick Saban, Jerry Moore (Hall of Fame FCS coach for those who don't know), Rex Ryan, Ron Rivera, David Shaw, and Brian Kelly
20) Jesse Minter: The other exception I'd make to my aversion to coordinators, in light of his pedigree learning from Brian Kelly, John Harbaugh, and Jim Harbaugh and the high confidence I'd have on the impact on the defense
21) Jim Mora: I know many will hate this inclusion but he's already turned around a Pac-12 program (albeit then fizzling a half decade in) and this year did a remarkable instant turnaround of one of the worst programs in FBS