On the research thing, the Pac 12 has a definition of research that BYU does not meet. Is it legit or an excuse? I don't know but it is still a line in the sand.
I haven't heard of BYU as a stepping stone regarding those particular disciplines. Are you making that up?
What does the channel have to do with conference affiliation. It is not a sports channel nor is it a big revenue generator (at least not at a level that benefits the potential conference). Emmys? I have nothing for you. That should get you a P5 invite on its own.