I'm really, really leery of retread coaches. In most cases there's a good reason why they're retread coaches. Most guys in that mold/situation don't bring a whole lot to the table in terms of scheme, player development, etc. Leadership, sure, but to be honest I don't think that should be Detroit's top priority at the moment. And it's not like first-time coaches can't bring leadership to the table anyways.
Budenholzer would be nice. He's not your typical retread. The situation with Atlanta got weird after he was stripped of his non-coaching duties (that he failed at like Van Gundy). But he's another guy that you worry about wearing on players, although the things he does as a coach are good on the whole. Unlike Stan these days.
If not either of these two guys... I don't know. As long as it's somebody who can implement a clear, useful system in today's NBA then I'm fine. Would much, much rather they focus on the offensive side of the ball but if it's suffocating defense then that's okay too. Then having a GM who can find guys to fit that system would be nice.
Makes more sense to get the front office in place first then have them bring in a coach but I guess it depends on who they're going after. Anyways, here's a list of some coaching candidates from CBS:
https://www.cbssports.com/nba/news/nba-coaching-tracker-candidates-rumors-updates-van-gundy-out-as-pistons-coach/
Possible coaching candidates
David Blatt, 58, former Cavaliers coach; current Turkish Super League coach
James Borrego, 41, current Spurs assistant
Mike Brown, 48, former Cavaliers coach; current Warriors associate coach
Mike Budenholzer, 48, former Hawks coach
Steve Clifford, 56, former Hornets coach
Vinny Del Negro, 51, former Bulls and Clippers head coach
Becky Hammon, 41, current Spurs assistant coach
Jeff Hornacek, 54, former Knicks and Suns coach
Mark Jackson, 53, former Warriors coach; current TV analyst
Jason Kidd, 45, former Nets and Bucks coach
Jay Larranaga, 42, current Celtics assistant
Ettore Messina, 58, current Spurs assistant
Stephen Silas, 45, current Hornets assistant
Kenny Smith, 53, current TV analyst
Jerry Stackhouse, 43, current G League coach (Raptors 905)
Nate Tibbetts, 40, current Blazers assistant
Ime Udoka, 40, current Spurs assistant
Jeff Van Gundy, 56, former Knicks and Rockets coach; current TV analyst
David Vanterpool, 45, firmer Trail Blazers assistant
Frank Vogel, 44, former Magic and Pacers coach
Mike Woodson, 60, former Hawks and Knicks coach; current Clippers assistant