Being an Independent in any sport is near impossible these days. A massive scheduling headache. That being said, there are several schools with some cache that might make it feasible for a very loose conference association.
Uconn, Cincy, Boise St., UCF, USF, SMU, Houston, BYU, Navy, Air Force.
I tossed BYU in there because, when I wrote loose, I see these schools largely selling their own rights and pooling resources only for playoffs and tournaments and such.
I'd look into forming something like this, first by putting in a call to all the politicos with ESPN associations. Get ESPN and SNY in a room, and sell UConn sports to them for $6-7 million a year.