I started looking at it after you mentioned it. You really only need to look at the teams who are likely to be on the cusp of bowl eligibility, and their games against each other: Mizzou, Auburn, Arkansas, Tennessee, Ole Miss and Vandy.
If we assume that MSU and UK go winless (aside from the game they play against each other), then each team gets a guaranteed win.
EAST
Missouri: Has a manageable OOC slate, though losses to Toledo and Arkansas St aren't out of the question. So the Tigers would only need 1 win against UT, Ole Miss, or Vandy.
Vanderbilt: Ridiculously easy OOC. Needs a win out of Mizzou, Ole Miss and UT.
Tennessee: At this point, you have to assume that Tennessee is going to lose to Oregon. Which means the Vols need 2 wins out of Vandy, Missouri, and Auburn.
WEST
Auburn: Losses to Wash St and Arkansas St are possible, but unlikely. So AU has to knock off Ole Miss, Arkansas, or Tennessee.
Arkansas: As of this moment, Rutgers is a toss-up at best. To be safe, the Hogs must beat both Auburn and Ole Miss.
Ole Miss: They will lose at Texas. Which means they have to beat 2 out of Vandy, Auburn and Arkansas.
And given that MSU probably won't be so awful that they go 1-7, this whole scenario is very fragile.