Thanks for the insight. I spent a lot of time thinking about this hand today because this is a situation that often arises and the choices are always difficult without good reads. I understand how calling may be > 3-betting here against an unknown opp. I wrongly assumed that he was just going to call or fold his Ax or draws, but indeed if he shoves them, it's quite ugly.

So the plan after calling the flop would be to check most turns? But then what? Let's say the turn comes 4d or Td or a club. Pot is $4.70. We check, he bets $2.70. Now I am really lost, no idea what to do. What would you do?