200NL - JJ vs. super-LAG

[dardo]

Villain usually plays like 34/24. I've seen her pushing A5o after being 3bet two or three times by the same player, at the moment seemed pretty impulsive.

I've already 3bet her twice before, this session, first he called my cbet and I folded to a bet on the turn, on the second it was a 3 way pot, it went to SW with little betting and I showed QQ. She always calls 3bets.

$1/$2 NL Hold'em Cash Game, 4 Players
LeggoPoker Hand History Converter

UTG: $573.70
BTN: $233.65
SB: $262.65
Hero(BB): $200.75

BB posts $2
Pre-Flop: J[img]/images/graemlins/club.gif[/img] J[img]/images/graemlins/diamond.gif[/img] dealt to Hero (BB)
UTG folds, <font color="red">BTN raises to $8</font>, SB folds, <font color="red">Hero raises to $27</font>, BTN calls $19

Flop: ($55) 7[img]/images/graemlins/heart.gif[/img] 8[img]/images/graemlins/club.gif[/img] 4[img]/images/graemlins/heart.gif[/img] (2 Players)
<font color="red">Hero bets $36</font>, <font color="red">BTN raises to $206.65 and is All-In</font>, Hero ...

What would you do? At what range do you put villain?