The Bowl Alliance was set up to match #1 vs #2. Yet how did they expect to do that without the Pac 10 and Big 10? The Bowl Alliance had the Sugar Bowl, Orange Bowl, and Fiesta Bowl, with auto bids for the SEC, ACC, Big 12 (Big 8, 1995), Big East, and SWC in 1995. The Big 10 and Pac 10 wanted to stay with their Rose Bowl deal and out of the Bowl Alliance, that had to change with 1996 and 1997 outcomes.
But getting back to the 1996 years Bowl Alliance Bowls match ups;
Sugar Bowl- #1 Florida St (ACC Champ) vs #3 Florida (SEC Champ)- Florida 52-20
Orange Bowl- #6 Nebraska (Big 12 Champ) vs #10 Virginia Tech (Big East Champ)- Nebraska 41-21
Fiesta Bowl- #7 Penn St (at-large) vs #20 Texas (at-large)- Penn St 38-15
So the Bowl Alliance says it was set up to to pit the best teams together in 3 Big Time Bowls. I guess they forgot to say you had to be from the right conference or the right school from the right conference.
BYU was #5 and Kansas St was #14, who happened to be in the Big 12...