[TMFS9]

I find this is a common line for a weaker ace out of the blinds, and I sometimes take this line with a weak ace on a A Q x board where I feel villan is betting middle pair and will pay off a raise. What I have been doing in your situation is calling the turn and raising the river. I find that it's much harder for them to 3 bet you on the river with two pair and they will certainly call the raise with a weaker A, as I expect to be shown a weaker A with much greater frequency than 2 pair or a set.