We have 8X AAC games per year. We have an annual H/H with Notre Dame and USAFA, plus the annual Army Navy game at a neutral site. That puts us at 11 games. We typically want the 12th game to go to an FCS team. In recent past we have played Holy Cross, Lehigh, Fordham, Colgate for that FCS game.
Not sure how USAFA sees playing BYU with the MWC issues. USMA has the flexibility as an independent, but not sure you fit with their scheduling philosophy - they schedule really weak, with one high profile P5 money game thrown in. For end of season 2019 Navy had SOS of 62 and Army had SOS of 97.
With Jeff Monken doing well they might try to upgrade their schedule but for now I think BYU exceeds their risk reward tolerance.