Trying to outLAG a LAG

[Spicymoose]

This is against the same villain as in my ATo hand. We have been struggling for a while, and he keeps raising me, or check raising me with little. I decide to push back. Wrong time? Should I have waited for board with more draws (increased chance he is raising with a draw, and I am ahead)? Given my 3-bet, do you play out the rest of the hand the same? Check/fold, the river?

Party Poker 3/6 Hold'em (6 max, 3 handed) converter

Preflop: Hero is SB with 9[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises</font>, BB calls.

Flop: (4 SB) A[img]/images/graemlins/diamond.gif[/img], T[img]/images/graemlins/heart.gif[/img], 6[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets</font>, <font color="#CC3333">BB raises</font>, <font color="#CC3333">Hero 3-bets</font>, BB calls.

Turn: (5 BB) 2[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets</font>, BB calls.

River: (7 BB) J[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">BB bets</font>, Hero calls.

Final Pot: 9 BB