Firstly I think I should have folded pre here, but I was running pretty hand dead to this point, so decided to play it.
Villain's 3bet from this position was around 4/5% and my notecaddy notes suggested he was depolarised. He also had a cbet in 3bet pots of 68%. So when he checks on this board I am discounting 1010+ and putting him on AQo,AKo,AJs+KQs. When I check the turn and he bets, I think it is just to take the pot down so I figure a raise might be good. He would prob continue with a FD here but given the range I put him on he has 4 combos for FDs and 30 for everything else. My bet sizing is quite small but he would prob continue with a FD to a 3x raise which is the only equity hand I am putting him on so I figure 2x should do the job fine and I am saving money there. Only prob is I don't really have much equity here if he does continue, which I don't like. What do you think?