At most 5 that I can see: BSU, UCF, ECU, Cinci, an Houston.
Though I am neither for or against relegation, it doesn't seem like you have truly thought this through as there are easily more than double that could get relegated before BYU: Wake Forest, Vandi, ISU, Indiana, Illinois, Duke, BC, Minnesota, WVU, WSU...and depending the timing Miami could be on the relegation list.
So BYU isn't as in trouble as you are making them out to be.