Keep the divisions. Move Mizzou west, Bama and Auburn east. TX and OK join the west.*
Play a 9-game SEC schedule: 7 games in division, 2 cross-divisional stepladder (home, then away, then fall off the schedule for several years until all the other cross-division opponents have done the same).**
Three out-of-conference games are free to each school to schedule as they wish, with one requirement: at least one of the three must be a Power 5 team.
The only down side of this structure is the six-year gap without playing cross-divisional opponents. You play them two years in a row (home, then away), and then go six years without seeing them.
Oh, and getting to Atlanta is no longer based on conference record. Instead, it is division record. Conference record can be the first tie-breaker.
* For clarity:
-- East = Vols, UGa, Florida, South Carolina, Kentucky, Vandy, Bama, and Auburn.
-- West = LSU, Ole Miss, Miss St, Arky, A&M, Mizzou, TX, and OK.
** Also for clarity: Tennessee's cross-divisional schedule may look like this:
Year 1 - LSU (away), Ole Miss (home)
Year 2 - Ole Miss (away), Oklahoma (home)
Year 3 - OK (away), Miss St (home)
Year 4 - Miss St (away), Texas (home)
Year 5 - TX (away), Mizzou (home)
Year 6 - Mizzou (away), A&M (home)
Year 7 - A&M (away), Arky (home)
Year 8 - Arky (away), LSU (home
repeat
p.s. Why keep the divisions? Well, the old "if it ain't broke don't fix it," comes to mind. But more than that, the SEC is growing. From 12 to 14 to 16 teams, and who knows if more are coming. Going to get so big at some point that it stops feeling like a conference and starts feeling like a mini-league. When that time comes, the divisions can fill the "neighborhood" role that the conference once did. In engineering terms, we'll be needing that interior structure as the edifice enlarges.