87s in position against LAG - how was my play?

[Sm@rties]

BB is villain and a LAG with PT stats of 48/21/3.6 over 62 hands and he has a WSD of 18%. He is often reraising with crap regardless of position. I would like to know if any of you would have played it differently given the deep stacks. By the way my image was fairly tight, I had won some big pots showing down good hands.

Prima Poker skin
No Limit Holdem Ring game
Blinds: $0.50/$1
6 players
Converter

- MP: $50.62
- CO: $93.36
- BT(Hero): $190.94 [Dealer]
- SB: $60.70
- BB: $249.17
- UTG: $94.12

Pre-flop: (6 players) Hero is Button with 8[img]/images/graemlins/diamond.gif[/img] 7[img]/images/graemlins/diamond.gif[/img]
UTG folds, UTG+1 calls, CO folds, <font color="#cc0000">Hero raises to $4</font>, SB calls, <font color="#cc0000">BB raises to $12</font>, UTG+1 folds, Hero calls, SB calls.

Flop: 3[img]/images/graemlins/diamond.gif[/img] 2[img]/images/graemlins/spade.gif[/img] 9[img]/images/graemlins/diamond.gif[/img] ($39, 3 players)
SB checks, <font color="#cc0000">BB bets $20</font>, <font color="#cc0000">Hero raises to $60</font>, SB folds, BB calls.

Turn: 7[img]/images/graemlins/heart.gif[/img] ($159, 2 players)
<font color="#cc0000">BB bets $40</font>, <font color="#cc0000">Hero raises all-in $117.94</font>