It is hard to think through how this shakes out. Florida could try to name Anthony Grant (recently hired as an assistant after being fired by Alabama) as head coach. But I think that would be unlikely to satisfy the faithful and keep the roster intact, since he was just fired by Alabama. And putting an interim label on his title would create a year of recruiting limbo that would be disastrous for the program.
So they are probably hunting for a new head coach. I think that they will have to reach for someone from the mid-major realm, or someone who hasn't quite proven himself from the high-major realm. While the recruiting class is signed, I don't think that they can afford to have a protracted search before recruits start getting uneasy and asking out of LOIs. So they will have to move quickly with someone that they think will jump.
You have to figure that Archie Miller and Chris Mack would be on the short list (Gregg Marshall too, but I don't see him jumping). After that, the list gets pretty sketchy. If they miss on a couple choices, they could be looking at the younger Pitino.