I could see Frank leaving. Frank wouldn't want to leave the new coach with empty cupboards (doesn't seem to be his style). New coach will have a brand new BBPF, an experienced team with pretty much everybody returning, and a program at its highest level in years.
The only way I see Frank staying is if ADJC pulls out the checkbook (or ADJC bails). Frank had a great season after losing the programs top scorer in history, and made it to the 2nd round of the tournament.
We all know Frank and ADJC don't get along...but I don't think Frank and Undy get along very well either. Just my $.02.