re: Since there is a "Big 6" it only seems appropriate to have a couple of other groups.

i would have four divisions:

GeoraBama

Ole 92s

Four 12s

Vandy

i think the teams in each should be obvious.
and no crossover games:

ugga and bama play a nine game series for the playoff spot.

four 12s can play with each other.

and vandy can play with themselves.

(swidt?)