Unless the NCAA waives the selection rules (see p. 9) for the Big XII there's no way Okie Lite goes anywhere but the Texas Bowl.
Actually there's a good chance neither the Alamo, Sun, or Insight bowl selects Mizzou. That would put them in the Independence, which they would probably refuse the offer and move them down to the Texas Bowl, which could put Okie Light in the Independence.
But that's really the only scenario they could be anywhere but the Texas Bowl.