My guesses for the two coaches OP mentions in the current 'search' based on absolutely zero evidence and 100% intuition
Active head coach:
Freeze (Most likely 'big name' hire, IMO. The vibe I get is that he's spent enough time out of coaching and then as a DA HC at Liberty 'paying his dues.' )
Kiffin (Maybe, but I'm not sold he'd come. How much better is the Auburn job than Ole Miss? Yes, a Saban/Kiffin Iron Bowl rivalry would be awesome, but from his perspective he already gets a shot at Saban each year regardless.)
Aranda (I don't see it. Why leave Baylor with an easier path to the playoffs and job security for a hostile environment facing Smart and Saban each year?)
Wildcard: Mr. Primetime himself, Deion Sanders (LOL yeah right, PTB would never allow it. But it could be a high risk/high reward kind of thing. If he puts together a solid coaching staff led by a strong OC and DC while focusing on being a game manager and the 'public face' of the team/brand, recruiting could explode. Especially if Bo is involved; imagine being a 5* HS recruit with Deion Sanders and Bo Jackson sitting in your living room for you?)
Former head coach weighing options:
Meyer (Possibly, but I have my doubts and reservations about him anyway.)
Stoops (Maybe? I can't imagine the XFL is scratching his 'head coaching' itch. But who knows.)
Briles (Ugh, please don't even consider him.)
Gruden (LOL, let's not be like Tennessee fans.)