That's a pretty good football conference and a damn good BB conference. The only problem is that the conference isn't splitting FB and BB. The BB onlys bring incredible value to the overall TV contract (G-Town, Nova, ND) and the BE needs that $.
You don't need a split if the football schools keep their football $$$ separate from the bball onlies. I believe that is what the conference would have to agree with those schools on. None of the bball schools, especially ND, get a share of the BE Football money. If they don't like it, go to the Big Ten. The BE could always add another school for BBall in their place. The split is all about the $$$. If they can find a way to keep the two money streams separate, then all would be well.
BB East
SU, UConn, Pitt, SJU, GTown, Nova, Providence, Rutgers, USF, Seton Hall,
BB West
WVU, Louisville, Cincy, Depaul, Marq, ND, KU, KSU, TCU, Mizzou
WVU would move to the west division for BB. You retain the core of the original BE BB teams in the east division. You play everyone in the conference once and have one rivalry game. Schedule goes to 20 games. The top 2 teams in each division get double byes in the tourney. The remaining 16 play off to see who makes the quarterfinals on Thursday, with teams hosting the first round on campus.