My head is starting to spin working it all out BUT...
It's really going to come down to whether the NCAA enforces the rules as written or they opt for "the spirit" of the rules.
As written:
Cajuns cannot go to New Orleans because you can't let a 7 win opt out and fill a contract with a 6.
Now that lends itself to a silly result. If Troy wants to be Birmingham and ASU in Shreveport the Cajuns or FAU have to go to one so the league can honor primary and secondary contracts, it makes no sense to not let the Cajuns go to New Orleans and ASU and Troy the games they prefer. Net result is the same identical group of schools go to a bowl only change is which game. That takes us to the spirit of the rule which is to prevent leagues from gobbling up all the games and shutting out 7 or better teams. The only available 7 win at-large teams will be two WAC teams, one MAC, and Troy if ASU wins Saturday. If all 7's land a bowl fairness ought to rule, however fairness has never been a terribly good argument in Indianapolis.