Despite what the World Almanac may say, I don't think the Sugar Bowl is still standing. Tulane plays its games at the Superdome.
Mississippi -- Jackson/Starkville/Oxford -- are not NFL-sized stadia. LSU's home field in Baton Rouge is -- but yes, Benson has threatened for years to move the team.
Bought a car from a Benson dealership when we lived in Boerne NW of San Antonio and the kids received posters of Saints' players. He has been wanting to relocate with SA at the top of the list for sometime.
If they use the Alamodome, sure hope they have better artificial turf then the last game I saw played there in person.