I picked the 12 team, but not Arky and SC, the one with Ga Tech and Tulane. Kudos to Vanderbilt for sticking it out and getting the payday when the other private schools like Tech and Tulane bailed because they couldn't compete.
Tech left in 1964 because of the newly implemented 140 total scholarship limit of 140 for football and men's basketball back in the 60's. Tech wanted more than 30 football scholarships per year. That didn't age well.
Tulane left in 1966 because they thought athletics was overshadowing the academic mission of the university. Tulane still has more SEC football championships than UK, VU, Arky, Mizzou or A&M. Tulane wistfully thought that Vandy, Duke, Tech, Wake Forest and the like would form an Ivy League of the South that never materialized.
Since the advent of cable tv, ESPN and the huge contracts for television rights, it's easy to pick the NFL Minor League teams with the most tv sets as the fair haired child. I like the traditional charter teams of the SEC less Tulane that quit the SEC in 1940. Or even the old Southern Conference which included most of the SEC and ACC teams.