Def 3-bet vs this guy. He tends to call 3-bets lightly pf and also peel lightly on the flop. Your 3-bet range is pretty wide here, so it's not like you're giving away the strength of your hand.

I think calling oop with AA is fine on occasion, but save it for a different opponent/situation. (I'd also be more likely to c/r this flop in this situation rather than lead and 3-bet ai)