Eliminate divisions, and stay with 8 conference games. Schedule according to how the teams finished the year before, like they used to in the NFL.
For this purpose we will say Alabama is champ and so on, so they play the next 8 teams
Alabama: UGA, LSU, UF, A&M, Auburn, And 3 more
UGA plays Bama, LSU, UF, A&M, Auburn, and 3 more
And at the bottom Vandy plays Arkansas, USC, Ole Miss, UK, UT and 3 more, not named Bama or UGA.
And so on.
For this purpose we will say Alabama is champ and so on, so they play the next 8 teams
Alabama: UGA, LSU, UF, A&M, Auburn, And 3 more
UGA plays Bama, LSU, UF, A&M, Auburn, and 3 more
And at the bottom Vandy plays Arkansas, USC, Ole Miss, UK, UT and 3 more, not named Bama or UGA.
And so on.