Fold.
AK is for raising, not for calling.
Villain's possible range
1)pocket pair 22-QQ, you're 50-50
2) AQ,KQ etc, you're way ahead (but villain has PFR of 5, so not gonna happen)
3) AK you're splitting
4) AA, KK you're way behind.

For an almost tight player who isn't very aggressive you got to be thinking AA/KK if they 3-bet push pre-flop
I fold AKs as well. It's not that much better than AKo, flush chances are slim.