Turned a Big Draw, Bet or Check Behind?

[Double Eagle]

From tonite's 45k, Villain is GambleAB. I get confused as to whether I should be betting here...

PokerStars No-Limit Hold'em Tourney, Big Blind is t200 (9 handed) FTR converter on zerodivide.cx

Button (t6700)
SB (t17160)
BB (t10825)
UTG (t11625)
UTG+1 (t6580)
MP1 (t4425)
Hero (t17795)
MP3 (t16275)
CO (t5790)

Preflop: Hero is MP2 with J[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises to t600</font>, <font color="#666666">3 folds</font>, SB calls t500, <font color="#666666">1 fold</font>.

Flop: (t1400) 8[img]/images/graemlins/spade.gif[/img], 2[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
SB checks, <font color="#CC3333">Hero bets t800</font>, SB calls t800.

Turn: (t3000) 5[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
SB checks, Hero ???