Turned a set of Aces on a Semi-Scary Board, What Now?

[Double Eagle]

Here is another hand from the last night's 11r. Villain is Davin Anderson (Dabest24/7), who got a bunch of ESPN air time last year and is a pretty notorious LAG. Curious as to what my line should be on the turn....

PokerStars No-Limit Hold'em Tourney, Big Blind is t12000 (8 handed) converter

Button (t237616)
SB (t207490)
BB (t399566)
UTG (t265143)
Hero (t254108)
MP1 (t174036)
MP2 (t193672)
CO (t361281)

Preflop: Hero is UTG+1 with A[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to t36000</font>, <font color="#666666">3 folds</font>, Button calls t36000, <font color="#666666">2 folds</font>.

Flop: (t96200) K[img]/images/graemlins/club.gif[/img], 9[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets t60000</font>, Button calls t60000.

Turn: (t216200) A[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">