The answer would be Arkansas. Alabama and Auburn would be eliminated based on losing to an east team. Arkansas would get the nod then with a head to head win over LSU. No losing to the Hawgs please Les! :geauxtige
R-Kansas would have a win over LSU but losses to Bama and Auburn in head to head match ups. TC board is correct, he just couldn't bring himself to say LSU could lose. R-Kansas, is the only one of the four that is already eliminated.
I am almost positive that it would be Bama in the SECCG in this scenario. One of the 1st tie breaker rules is the division record and since Bama lost to USC that actually helps them. The 3 way tie breaker would be narrowed to 2 teams with LSU out and since Bama beat AU head-to-head they go.
Any 3 or 4 way ties, goes to Bama, for the reasons you mentioned. It's the head to head wins with the teams tied in the west. Long shot at best, but a shot at the SEC crown.