Tough spot. I'm going to ignore the MP.

Will button check down if you call? If so, this spot is probably +EV as you're likely to be a coin flip against two hands. Come to think of it, button basically can't have AA or KK here, and you're getting better than 2:1 to see a flop with AKs, so I think this is a call.

If button's the check down type of guy, this is a call because you get to see all 5 cards here with a hand that's probably better than 33% to win.

If button's going to bet into you when you check, this is a call because you're very likely to be ahead of villain if an A or K falls.

So, I think this is a call and check any flop situation (maybe with the exception of monotone flops that pair you).