He's a LAG and has been quite the bully. I've 3 bet him from the bb before when he was OTB stealing, he folded.

Hero has 240 and barely covers villian.

[Ad] in MP and I open over a TAG limp to 10, LP in sb calls, bb villian makes it 43.20, utg folds, I call (thoughts? I didn't want to 4 bet and telegraph my hand...I'm obv stacking off on any flop)...and we're HU.

Flop K86r, he leads 1/2 pot 49 and change...I push.

Is calling an option? Any way to get more out of JJ/QQ?

Calling is definately an option. I think I would normally push here as AK makes up a good portion of villains range, plus it can send a message.

I don't see why calling is bad though...worst case he has KQ and has 5 outs. If he is the type to 2 barrel, calling seems really good actually. Most guys (even LAGs) are reasonably nittish in 3-bet pots though.

I would 5bet preflop, and as played, call on the flop.