I don't think these will be rivalries, just mostly interesting matchups. You need either proximity or some unique linkage plus playing a lot in near equal terms to be a rivalry.
If Texas and LSU played annually, it could be come a rivalry in time, same with Arky (which I know was roughly one back in the day).
You have things like UGA-USCe that is played a lot but won't be a rivalry unless things change. When I was in school, UGA-UF wasn't that much of a rivalry.