Inane hypothetical

[GimmeDaWatch]

All folded to Villain in the CO who raises to 4xBB (you each have a 100BB buy-in of equal size). You know villain as a fairly solid, conservative, weak-tightish type who views you as roughly the same. You're in the SB and decide to call w/AK. Flop comes down A92 rainbow. Presume for this post that you know CO has AQo, what is your play on the Flop, Turn, and River? How would this differ if you were on the Button? Assuming you didnt re-raise preflop, would your play change significantly if you held KK and the flop were Q92?