Re: deep stack live
I wouldn't call that flop either. But the fact that villain is a passive player, and even though he just made a minraise, means he has a better than average hand, and maybe a real big one since lots of players like him think they want 6 callers when they have AA.
As played, checkraising is a bad play, and check/calling lets him know you have a draw or a weak hand, and you still don't really know much about his and how it relates to the flop.
So my play would be to lead the turn and see what he does. Maybe he doesn't like that A, and will now fold a pp that didn't hit a set. It is true that this risks being raised and having to fold a decent draw, but you don't know that he really has enough of a hand to call if you hit anyway. And since he minraised preflop, he is more likely to be a minraiser postflop, which gives you both a better read on his hand (and thus whether you can make something if you hit) and still doesn't price you off your draw. Plus if he actually has a big hand, then he might just incorrectly decide to slowplay, allowing you to bet a completed draw on the river and get raised by a worse hand.
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