Not likely for us to win a 3-way tie. First off, it would need to be against Alabama and either LSU or A&M (most likely LSU, obviously). That would come down to the record of the East opponents, of which ours are far inferior to both Bama and LSU. Mizzou and UK are probably going to finish with a much worse combined record than UT / Georgia (Bama opponents) or UF / USC (LSU opponents). They would have to have the best combined record of all 3 sets of teams for us to win the tiebreaker.
Now, the possibility exists of LSU losing out, us winning out, and us getting in a 3-way tie with Bama and Ole Miss (or even a 4 way tie with A&M thrown in there), in which case we would win both of those tie breakers. However, that possibility I think is so remote that its not even worth discussing.
For me, I'm rooting against Ole Miss until we actually beat Mizzou and Alabama and Alabama beats LSU. If those 3 things all happen, I'll put on my Bear hat for a week and pull for them against LSU and then embrace the chaos of the Egg Bowl deciding the West. But until that time, GTHOM.