[Xhad]

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In short, unless you add a round of betting at the end, bluffing is useless in this game. So I refer to my previous analysis.

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You are making a huge error in that you fail to realize that if A never "bluffs" by checking a loser, B should always draw no matter what his hand is whenever A stands pat. If B adopts this strategy, A can exploit it by intentionally checking if B has a pat hand if the probability of B making a worse hand is greater than the probability of A improving to beat B. I posted a more detailed analysis in the Poker Theory forum.