But it seems to me that B's best odds is by ignoring what A does- just play the odds. If B has less than .5, he wants to redraw regaurdless- if A redraws, A is likely beating him, if A stands pat, A is surely beating him. So I see no reason for B to stand pat here, ever.

If B is greater than .5, and A redraws, he should stand pat- A is likely losing.

So the only bluff left is when B>.5 and A<B. A can try checking a loser, as you mentioned. But here I disagree- B knows that a redraw is unlikely to beat A. He knows a redraw would most likely make him a worse hand. For this to make sense for A to even try, B has to be very close to 100- closer to 100 than A is to 0. The more likely that is to be true, the less likely B is to win on a redraw anyway. So I say that B is better off just not playing that game and going by the numbers- if above .5, stand and ignore A.