JJ facing AAK board agaginst possible weakness?! NL200

[ArgusSpets]

Villain is 23/16/2

I am pretty sure he doesnt have a big hand, because he just coldcalled preflop the squeezer might slowplay, but I dont think he does that 2 streets (also his squeeze might be weak), so I dont think villain can stand the pressure of a push... Anyone agrees or will villain call with AJ/AQ typish hands? Or is it too unlikely I have AK and slowplayed two streets? Somehow Ive a feeling too, that villain got a bare King here often enough to make a minraise profitable, because hell certainly fold to that without an A:

PokerStars No-Limit Hold'em, $2 BB (6 handed) by Hand Converter CG

saw flop|<font color="#C00000">saw showdown</font>

BB ($500.90)
UTG ($191)
MP ($200)
<font color="#C00000">Hero ($193)</font>
<font color="#C00000">Button ($504.25)</font>
SB ($252.35)

Preflop: Hero is CO with J[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/heart.gif[/img].
UTG folds, MP folds, <font color="#CC3333">Hero raises to $7</font>, Button calls $7, <font color="#CC3333">SB raises to $29</font>, BB folds, Hero calls $22, Button calls $22.

Flop: ($89) A[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, Hero checks, Button checks.

Turn: ($89) 2[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, Hero checks, <font color="#CC3333">Button bets $40</font>

Hero folds, pushes or minraises?