LOL man, something tells me that if there was a place where being an average white guy would NOT be held against you in the precess BYU would be it.
Have you taken a look at your BYU-H's updated Action Report?
I don't know how to really quantify diversity but I saw on a website a diversity index(LSAC maybe?) and BYU wasn't at the very bottom. It was closer to the middle. I think BYU would be very interested in increasing its racial diversity and would give good scholarships to encourage more minorities to come.