The Tampa owners are the the same owners of the Manchester United (soccer) team, thus they know know to take care of their people and have money to play the game. They can not be considered in the same league as some University trying to keep their coach. Further, I don't think they are unhappy with Coach Chucky. As for Monty, the guy looks old enough to make you suspect that he will not be interested in starting all over. Heck his Defense is named for Tampa (Tampa two). Gruden just does not add up to me.
Gruden would not be a good college fit. The reason is because he is not the type to play the father/mentor/shepherd role that a college head coach must be able to do. This is not an easy role in itself (see Fulmer, Shula, every Miami Coach). If the decision makers see it like me, Gruden becomes a concern considering their sustained pattern of trouble.