The likeliest path right now looks like this:
If UH wins the next 5 and loses to Cincy, they project for an RPI around 16 which means they should earn a seed between 4-6.
If UH wins the next 6 and loses to Wichita they would have an RPI of around 14 and probably be seeded no higher than a 5 seed.
If UH wins out and wins the tourney they would have a 28-5 record and an RPI of around 8 and then likely seeded no higher than a 3 with an outside chance of a 2.
One other note that could be interesting, the Big 10 pulled out of its usual tourney TV slot with CBS because its coaches hated playing the late game right before the selection show. They are now playing their tournament 1 week before everyone else. The American championship game will be the last game on CBS that precedes the selection show. Unless there is a cinderella in the final, there is a possibility that the committee has already seeded the field and makes the title game somewhat irrelevant.
Regardless of the conclusion, the fact that we are even discussing such tall cotton is a feather in the cap of coaches and team. This looks like the beginning of a sustained run by Kelvin Sampson provided he sticks around.