[Foucault]

I don't like the large pre-flop raise. I'd make a standard, possibly even smallish raise (100K sounds good), preparing to call a push from the BB and probably folding if anyone comes over the top, since you make it sound like there hasn't been much re-stealing going on. BB has to expect that you'll call his push, so his pushing range shouldn't be much wider than his calling range, and with the possible exception of AT, hands he pushes but doesn't call a push with are probably hands you're ahead of. I wouldn't expect a flat call, but if BB does just call, I would push any flop checked to me, and make a decision based on his range if he pushes the flop.