AKs for top 2 pair vs LAG; $3+R

[Toronto86er]

PokerStars No-Limit Hold'em Tourney, Big Blind is t800 (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

UTG+1 (t19995)
MP1 (t29165)
Hero (t50450)
CO (t6270)
Button (t31395)
SB (t36786)
BB (t50609)
UTG (t24565)

Preflop: Hero is MP2 with K[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/spade.gif[/img].
<font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises to t2400</font>, <font color="#666666">3 folds</font>, BB calls t1600.

Flop: (t4525) K[img]/images/graemlins/heart.gif[/img], 5[img]/images/graemlins/club.gif[/img], A[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets t1600</font>, <font color="#CC3333">Hero raises to t4800</font>, BB calls t3200.

Turn: (t14125) T[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets t11000</font>, BB calls t11000.

River: (t36125) T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, Hero ...


I'm fairly new to the table, and have been on a card run that probably makes me look like a maniac since I haven't shown anything down yet. I've been making lots of c-bets and flop raises with what turns out to be the best hand every time (big pairs, TPTK etc).

Villain is also very LAG, having slowed down a little bit recently. His flop bet is his way of playing back at me, and he could either be on a weak ace, maybe a king, or maybe a FD or JQ or something like that.

Can I value bet this river, and if so for how much?