I think we would win a 3-way tie with Ark, AU, and ourselves if things fall right.
From SEC Website:
2. Three-Team Tie (or more). The following procedure will be used in the following order until the tie is broken: (Note: If the three tied teams have three different records against each other, they shall be seeded in best-percentage order.) Otherwise, once the tie has been reduced to two teams, the two-team tiebreaker procedure will be used.
A. If all three teams are common opponents: Total won-lost percentage of games played among the tied teams.
B. Won-lost percentage of the tied teams versus the No. 1 seed and proceeding through the No. 12 seed, if necessary, using common opponents only.
C. If three or more teams still are tied, the Commissioner will conduct a draw.
*We are not common opponents, so go to part B. Here is the current top seeds:
1. MSST: 19-9 (Not a common opponent for all 3 teams)
2. Texas A&M: 19-9 (Also not a common opponent)
3. Florida: 18-8 (not a common opponent)
4. USC: 18-9 (not a common opponent)
5. LSU: 17-10 (UT is 0-3, AU is 1-2, Ark is 0-3)
6. OM: 17-11 (UT is 1-2, AU is 0-3, Ark is 0-3)
7. VU: 17-12 (not a common opponent)
So if there is a 3-way tie and Ole Miss finishes ahead of LSU, we would win that tie breaker. Slim but there it is.
Ole Miss went 2-1 vs. LSU if they tie.