This is from UH Couhgars.com. Of course, some of these options are if the other leagues don't have enough teams to qualify, but i would love the Independance Bowl, or the Liberty, Frisco would be my 3rd pick just due to its closeness.
With the application, season ticket holders can begin planning for Houston’s bowl game by pre-purchasing tickets to one of The American Athletic Conference’s potential bowl partners: AutoNation Cure Bowl (Dec. 16 - Orlando, Fla.), Boca Raton Bowl (Dec. 19 - Boca Raton, Fla.), Frisco Bowl (Dec. 20 - Frisco, Texas), Bad Boy Mowers Gasparilla Bowl (Dec. 21 - St. Petersburg, Fla.), Birmingham Bowl (Dec. 23 - Birmingham, Ala.), Hawai’i Bowl (Dec. 24 - Honolulu, Hawai’i), Walk-On’s Independence Bowl (Dec. 26 - Shreveport, La.), Military Bowl (Dec. 28 - Annapolis, Md.) or the AutoZone Liberty Bowl (Dec. 30 - Memphis, Tenn.).