Keep the same teams, do away with the divisions. Each school gets 3 permanent rivalry games that are played every year, and 5 games that rotate through the other 10 conf. teams. You play every conf. team almost every other year that way, and in any event, you play every team at least twice in every four year period. So for example, a 4 year UT schedule could look like this (in no particular order and assuming our permanent games are Bama, Vandy and Kentucky):
Year 1:
@bama, Vandy, @UK, aTm, @Miss St., LSU,
@Mizzou, USCjr
Year 2: Bama,
@Vandy, UK, @Florida, Ole Miss, @Ark, UGA, @Auburn
Year 3:
@bama, Vandy, @UK, @aTm, Miss St.,
@lsu, Mizzou, Auburn
Year 4: Bama,
@Vandy, UK, Florida, @Ole Miss, Ark, @UGA, @USCjr