Troubled AK Hand Big Stacks 1/3 NL

[Crispy]

I was at an Indian Casino last night and this hand came up at he 1/3 NL. Villian is to my left and to sum up his play I can only call him mediocre, maybe weak tight.

Stacks:
Hero $340
Villan $320
Rest of Table is about 100, little less.

Hero is Deal AK UTG, raises to 12. Villan miniraises to 24. One woman who I have played with before calls, my thoughts on here is that she would do this with 99-JJ or AK,AQ. The Villan however I have seen him do this exact same play with AA,AK, and he would most likely do it with QQ,KK. Folded back to me and i sit in the tank. I really didn't know how to proceed, I wanted to reraise and make it 60, or even push, but the fact that his stack was the only one that could significantly hurt me really affected my play. I just called, but what should I have done?

Flop: (Pot 66)
789rainbow. Villan bets 20, Woman Calls, I think and fold.
Should Have called the flop because I was getting 5:1, but any other suggestions on my play would be greatly appreciated.

[PokerCat69]

I would fold the flop as well.
Preflop there was a raise (you), then a Re-Raise and call.
Your up against 2 strong hands! You missed the flop, have no straight/flush draws - nadda.
I think your up against another AK and a premium PP (KK-JJ)