how's my line - QQ vs tough lag

[globetrotter]

Villain was 33/15/4 and was up big (2-4) buy-ins on two of my tables. Called a lot of hands in blinds against steals, and usually would stick around for a cbet too. Very aggressive on turn and river.
Plan was to call his raise and get him to bet turn so I could call or push, but when the J paired I felt like it helped too many of his hands.
Seemed like a solid player/reader.

Any thoughts?
Opponent's range?

Ultimate Bet No-Limit Hold'em, $1 BB (4 handed) Ultimate Bet Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

SB ($441)
BB ($122.85)
Hero ($122.10)
Button ($104.20)

Preflop: Hero is UTG with Q[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/spade.gif[/img].
<font color="#CC3333">Hero raises to $4</font>, <font color="#666666">1 fold</font>, SB calls $3.50, BB calls $3.

Flop: ($12) J[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/spade.gif[/img], 5[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, BB checks, <font color="#CC3333">Hero bets $8</font>, <font color="#CC3333">SB raises to $36</font>, BB folds, Hero calls $28.

Turn: ($84) J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">SB bets $84</font>, Hero folds.

Final Pot: $84

thanks