Are you saying BYU wouldn't join the BE or BYU wouldn't join a Big12 that had a couple of East Coast members?
You might be right about the Big East but they would and apparently have joined the Big12 and as long as the conference has most of it's members in the Midwest/Southwest I don't think they would care one iota about flying to Cincinatti or WV once in a while. They have plenty of money.