Give us our three actual rivals: Texas, LSU, Arkansas.
I don't see why it's not possible for us to get Arky. If the idea was to give Arkansas to Oklahoma, why not just give MSST to Oklahoma since OU doesn't have three true rivals in the SEC anyways?
This list I've seen seems to maximize rivalries:
Alabama: AUB, TENN, LSU
Arkansas: TEX, A&M, MIZ
Auburn: BAMA, UGA, MSST
Florida: UGA, TENN, SC
Georgia: FLA, AUB, SC
Kentucky: VAN, SC, MIZ
LSU: BAMA, A&M, MISS
Missouri: OU, ARK, UK
MS State: MISS, AUB, OU
Oklahoma: TEX, MIZ, MSST
Ole Miss: MSST, LSU, VAN
South Carolina: UGA, FLA, UK
Tennessee: VAN, BAMA, FLA
Texas: OU, A&M, ARK
Texas A&M: TEX, LSU, ARK
Vanderbilt: TENN, UK, MISS
(I posted this list once already in another thread, so this will be the last time I post it to not be a broken record.)