Depending on the villian, a push might fold a crappy suited Q. Thinking about it further, any hand containing a Q in this spot might not fold Q-9, Q-10 and Q-J just picked up a straight draw to go with their trips.

Like I said, I don't know if I could do it, but hero should lay down the aces. Again, if you can't lay them down, push and hope for the best.