I'm thinking of the N.D. series with USC, Michigan (though gone), Standord, etc. I'm not thinking of the ACC scheduling agreement, as much.
If BYU could do something similar with a group of 4 teams or so, who would you want?
For me:
Utah (Yup, sorry. Maybe they aren't a "big name" but it is a real rivalry).
Washington (To me, something about this match up feels right).
Texas (If revenues are to be believed, Texas is THE biggest program).
USC/UCLA (A big name from So-Cal, either one).
Just a thought.