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Thanks for the comments.
Here are the results of the hand:
Turn 4 3 6 K
River 4 3 6 K 2
Hero shows: J T (high card king)
Villain shows: 3 5 (a straight, six high)
Villain wins: 8 530 (with a straight, six high)
Villain flopped a pair + an open-ended straight flush draw, so my attempts at bluffing him off the pot were pretty much doomed. Since his hand was so strong it didn't really help me decide how effective my move was likely to be on average. The consensus among the replies seems to be that it's not worth the risk, and after thinking it through I'm inclined to agree.
Some responses to some of the comments:
 Originally Posted by zenbitz
However, if Villain is going to call 3xBB with any two (as you say he will), then the raise is probably not big enough...
Ah, no, what I meant was that I thought he'd make the flop bet when checked to with any two. I felt that the preflop cold-call made the most trashy hands unlikely.
 Originally Posted by TripsChaos
If i were the other player, i would call you with any pair b/c i would know i was ahead.
I didn't really expect to be able to bluff him off a made hand, but I felt that the probability that he had made a pair or better was sufficiently low that this was not a big problem. My concern was if I could push him off something like AJ or a straight draw.
 Originally Posted by Xanadu
If he's gonna fold, he'll probably fold to a raise of 900-1000, so why risk your whole stack?
One of the reasons I pushed was that I wanted to make sure that he wouldn't have correct odds to draw. I think this was the biggest flaw in my reasoning: he would be likely to call with any draw anyway (and then
find out that he was actually ahead of me).
My other reasons for pushing rather than making a smaller raise were
1) That I wanted to make sure that a losing call would really hurt his stack
2) That he had position on me. I was concerned that if I raised smaller he'd stay around with a trash hand (which could still be ahead of mine) to see what I'd do on the turn.
In conclusion I think that my move would be likely to make him fold a lot of hands he could have that are ahead of me (Axs without the flush draw, KJo or whatever), but that the probability that he does have a piece of the flop is too high to warrant risking my whole stack
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