Here's how you keep every important traditional rivalry.

Alabama: Auburn, Tennessee, State
Auburn: Alabama, Georgia, Florida
Georgia: Auburn, Florida, SCar
Tennessee: Alabama, Vanderbilt, Kentucky
Florida: Georgia, SCar, Auburn
State: Ole Miss, Kentucky, Bama
Ole Miss: State, LSU, vandy
LSU: Ole Miss, A&M, OU
Texas: OU, A&M, Arkansas
OU: Texas, Mizzou, LSU
A&M: Texas, LSU, Arkansas
Mizzou: Arkansas, Kentucky, OU
Kentucky: Tennessee, Mizzou, State
Vandy: Tennessee, Ole Miss, SCar
SCar: Georgia, Florida, Vandy
Arkansas: Mizzou, A&M, Texas

Then rotate the other 6 games with H&Hs. You'll play everyone at their place and at home at least once in a 4 year span. Plus you don't lose your rivalry games.

There's wiggle room too. But i stuck with the most traditional rivals.