It's a lose lose situation AND after Bleachergate certain members of the UT Admin have no desire to play them ever again. Cougar High fans are annoying as fuck and I get little joy playing them or beating them whereas losing results in extreme displeasure. Playing Rice is enjoyable because their fans are relatively intelligent, know their place, and often work with us or went to grad school with us at other institutions so they're our friends. It also has a gravitas lended to it by JFK and the Apollo Missions (see the 50th anniversary celebration of the moon landing). Their band is also pretty funny. In addition we get all the benefits that would come with playing Cougar High with none of the drawbacks.
Rice should become a permanent yearly "rivalry" with some NASA/Moon/JFK related name and trophy that is played at NRG every year so that we have a game in Houston. Every year around that time we could use the game to emphasize our engineering/science programs and academics to recruits, students, and the general public. Get Moriba Jah to land us another blue chip lineman. It'll be a free win most years, a great recruiting game, and a nice treat for the Houston Texas Exes/Longhorn fans.