Live cash: AK misses flop against loose player

Windsor $1/$2 game. Villain is the same guy on my left that beat me with the suited Q6 when I had the suited AK (see this thread for info. EP raises to $12, I am in MP and look down at :As::Kh:. I reraise to $30 (~$400 behind). Villain calls (~$400 behind). Everyone else folds. Flop is:

:Qc::8h::3s:

I lead out for ~$50. Villain calls. Pot is ~$175. Turn is:

:Js:

After his call on the flop I put him on a Q, or PP between QQ and 88. I check the turn, expecting a bet and being ready to fold. He checks behind me.

At this point, what do you put the villain on?

It is impossible to know, but the one thing I do know is I am not putting any more money in this pot unless I river Broadway.. If I had to guess maybe QJ or JJ... But who knows with his last play in your head...