QJs got there on river

[wdead]

I see we have a flush draw.
Villain bets flop, we need 10-1 to hit if he has a hand.
Villain bets turn, we need around 3-1 to hit if he has a hand.
If we are peeling here to stack a hand, then a river bet seems suicidal.
If we are peeling these to take pots away, we should put in a raise somewhere.

So, it boils down to, if river was an offsuit deuce, and villain checked, what is hero's line and why?
I think the play on this hand is completely inconsistent, and hero should check the river. I think if hero is betting this river, he should be raising turn.

Thoughts?