http://theamerican.org/documents/2015/2/18/TheAmerican-mbbTiebreakers.pdf
There are a million moving parts, but as far as I can tell the most likely scenario by far is that we're in the 4-5 game against Temple.
If we're in any sort of tie with Cincy (including a 3-way tie with Temple), they will get the 3 seed. Head-to-head is a wash, even if you include Temple in a "mini-conference." So then it moves to best record against the top of the standings. If SMU is at the top, advantage Cincy since they beat SMU twice. If Tulsa is at the top, they actually wouldn't give us the edge over Cincy even if we are 1-1 and they are 0-1, because they didn't have the chance to play them twice. So then it moves down to SMU, and Cincy wins.
So I believe there are only 3 scenarios where we would avoid SMU until the finals:
1) We win out, Cincy loses out, and SMU beats Tulsa.
2) We finish 4th or 5th and Tulsa beats SMU.
3) We lose out (6 seed) and SMU beats Tulsa.
I don't think any of those are particularly likely. I guess we should really root for Tulsa to beat SMU in Moody.