My theory is the well dried up when Florida State decided to spend every available dollar on football in hopes of the next conference realignment. Hamilton likely owns every conceivable FSU bball record down there because the Seminoles have been a bad basketball program before him (and likely after him).
If FSU's plan is still to invest everything in football (taking Hamilton down to his final contract year is a big signal that FSU could care less about bball right now) then they'll need to think more outside the box on their bball hire. They need to find a coach who's had success when they don't. My coaching list for them would be way different than others: I would have Shaka Smart, Randy Bennett, Grant McCasland, Andy Enfield, and maybe Steve Pikiell on my list. Those coaches are big floor raisers and have shown to do well with little resources.