I don't really have a good reason for it, but I can't say I particularly trust Alberts with a basketball hire, so here's to hoping he doesn't have to make one.
In this day and age though, I think it is clear schools just need to go out and get the best basketball coach they can. Recruiting is important, but that can be handled by a staff and NIL. Getting someone who is damn good at coaching the game is more important now than I feel like it has been in a long time.
As mentioned, there are no clear cut guys ready to make the jump up, but in no particular order I'd be thinking about the following group, with the note that for most of these you'd have to be willing to have a quick hook, which isn't exactly something we are good at with basketball coaches:
Chris Mack - Only one year back in the game, would he want a lower key, lower stress job like A&M?
Richard Pitino - is it UNM or is he ready to make that leap again with more experience this time
Ben McCollum - limited D1 track record, but the guy can clearly coach
Ross Hodge - want nothing to do with this style of play, but is well respected by other coaches
Listing here, but not sure I actually like:
Bryan Hodgson - limited track record, not sure his actual coaching acumen yet
Bucky McMilan - I'm not convinced his style works at the power conference level
Alan Huss - again limited track record and may need someone to help coach defense
Could a guy that moved last year be lured, like a DeVries or Byington?