Nl 100 AK OOP re-reraised pot

[g-5]

PokerStars No-Limit Hold'em, $1.00 BB (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

BB ($85.60)
Hero ($100)
MP ($246.75)
CO ($22.55)
Button ($97.50)
SB ($97.50)

Preflop: Hero is UTG with K[img]/images/graemlins/heart.gif[/img], A[img]/images/graemlins/spade.gif[/img].
<font color="#CC3333">Hero raises to $4</font>, <font color="#666666">2 folds</font>, <font color="#CC3333">Button raises to $13</font>, <font color="#666666">2 folds</font>, <font color="#CC3333">Hero raises to $30</font>, Button calls $17.

Flop: ($61.50) A[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/heart.gif[/img], 9[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, Button checks.

Turn: ($61.50) Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets $22</font>, <font color="#CC3333">Hero raises to $70</font>, Button calls $45.50 (All-In).

River: ($196.50) 3[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

Final Pot: $196.50

hi
pfr : i only made a small 4 bet , that i could fold to a push, is it better to make a larger raise and call an all-in ?
i checked the flop and turn because i think that he would bet hands that wouldnt call an allin ( kk,QQ, mb JJ )
if i push the flop he only calls with a set AK or mb AQ , and those hand would also bet if checked to.
what would my play if i had KK or QQ , should i check /fold this flop ?

[RepulseMonkey]

You don't mention how tight/laggy the button is and what is 3bet + call range is.
you have just over a psb left so if I'm looking to get it in I like a flop push.