C-bet push an A high flop?

[KneeCo]

Bad loose-limp-passive table where people like smooth calling pf/open limping and Im like the only one 3 betting without the nuts. ITM in the a 3$ FO.

My image is probably bad b/c I'm raising a lot and punishing limpers and one time I did that I flopped well with K3o and went to showdown. Villain has been among the limp-folders looking to play fit or fold in multiway pots.

I think pf here is obligatory at this table, but I welcome debate on that if you want.

PokerStars No-Limit Hold'em Tourney, Big Blind is t1000 (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

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

<font color="#C00000">Hero (t47831)</font>
MP2 (t6575)
<font color="#C00000">CO (t8420)</font>
Button (t36261)
SB (t13165)
BB (t18578)
UTG (t77423)
UTG+1 (t3585)

Preflop: Hero is MP1 with K[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/heart.gif[/img].
<font color="#666666">2 folds</font>, <font color="#CC3333">Hero raises to t2500</font>, <font color="#666666">1 fold</font>, CO calls t2500, <font color="#666666">3 folds</font>.

Flop: (t5700) J[img]/images/graemlins/club.gif[/img], 3[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets t45231 (All-In)</font>
Villain has 5820 behind and if he were slightly deeper I'd C/F (though after that if we were both deeper I'd cbet cause his pf range would be bigger).