UConn does not fit the profile, both because of football and because it is public. The original BE was designed to be both public and private, and centered on men's basketball. The explosion of football only emphasized the differences between public and private schools. Different funding, different size, different missions. I think the schools together today all fit each other and the administrators understand each other. So UConn is out. Louisville has no desire to go anywhere. Cincinnati does, but not to the Big East.
Notre Dame is not so crazy, and when the Catholic 7 split from the Big East, they seriously considered going along. Then decided against it because the ACC was a better fit for their other sports. The managed to work out an acceptable deal for football. I think they could have fit, but now that they are in the ACC, I do not see them going anywhere. I still think the formula for expansion is Saint Louis and....