Re: Can I ever lay this down or do I have to pay off?
 

If you said MP is a solid player, he almsot certainly has 44 or 88 here. Solid players don't limp and call raises with KQ, AK, KJ, etc. Solid players limp/call with small pairs and not much else..so what small pairs plays the flop this way?

Re: Can I ever lay this down or do I have to pay off?
 

I we put villain on PP preflop, isn't it much better to bet a little bit more than half the pot?

I mean.. there is no money to be made after the flop here. Why don't we tell him that we beat a PP below K without investing so much, and then if he telles us that he has a set we can fold. If he solid like you say I don't he will go crazy and raise you with a PP that missed because he thinks you have AQ and missed.

Re: Can I ever lay this down or do I have to pay off?
 

His hand screams set to me, especially given his image. If you were a bit deeper, you would find it easier to get away from this hand. Then again, if both of you had deeper stacks, I'm sure he might have played the hand a bit differently. You have to call with AK here given the stack sizes.