UA doesn't have to play in the Rose Bowl to play in the Rose Bowl, kapeesh? UCLA plays its home game there. They play non-bcs schools to open the season, so no reason it is out of the realm of possibility.
I think you really over-estimate the gap between UA and Miami, Toledo, BG, and NIU. Whatever perception gap there is gets quickly erased by a few good years, a good coach, a stand-out player, and some consistent TV exposure, all of which UA is experiencing right now. Granted, UA doesn't have the consistent performance of Miami or Toledo, but it is head and shoulders above MAC schools like Can't.