As has been discussed in the before time, a 16-team conference can be split into 4 pods and can be scheduled so that every team plays all the others every other year.
9 game conf schedule of:
the other 3 teams in your pod (every year)
2 from each of the other 3 pods one year, the other 2 from each pod the next
3 + 2 + 2 + 2 = 9
You see everyone else every 2 seasons
You play at your place and their place every 4 seasons
.
I doubt the SEC would do this, as it makes too much sense. Plus, the pods would be all wacky if the original 4 schools held the rest of the conference hostage again (although Tennessee might not want to play Alabama every year anymore).
If those 4 did insist on being in a pod together (AL, AU, UT, UGA), it would leave Florida with Carolina, Vandy, and Kentucky.

Texas, OU, A&M, and Arky would be a pod.
That would leave LSU with OM, MSU, and Missou, which would be a casserole, basically.
.
Or people might insist LSU and Florida are in a pod, and you'd be left with some kind of toilet bowl pod remaining.