That is certainly a nasty board to hit with a re-raised AQ. He called your re-raise OOP and has now near-potted it on that board. Hands I think you may be up against are a set protecting against the straight draw, and any combination of two pair hands that he didn't want to be pushed off of heads up preflop (JT QJ QT). That bet seems a bit large for AK, I don't think he would play the nut straight that fast on a rainbow board. AQ for the split is possible, as is KQ for top pair +OESD. 99 and 89, along with some other pair+OESD combinations are also possibilities, but I think somewhat less likely.

This pot is going to be at 68 on the turn, and the four kings are the only cards you really want to see, which it would be doubtful he would pay you off on if you did manage to catch. You certainly don't have the odds to chase 4 outs. I think I may pass on this spot.