My daughter is there and lives with 4 BYU students (and loves both schools). UVU is the largest university in the state. They don't (and probably won't) have a football team.... at least for 10-15 years. Work out a deal with the university that promotes BYU football, but allows UVU students to root for their own BBall, Soccer, Baseball....
I've felt that BYU hasn't been marketing their football well for over 30 years.