Binds 10/20 and stacks were very deep with a lot of guys playing 250bbs+.

I raise MP with Ad Kc and went 4 ways again with fish on the bb calls.

Flop Kd 7c 6c (pot is $260) i bet $200, button(good reg) calls and fish calls.

Turn 5 d(pot is $860). My stack is $6000, button has me covered and fish has $4400. Fish checks, i check and button bets $550. Fish calls. Do we overcall here? I think there are hands like good kings that he would like to play this way in position and both of us know that our range is way ahead vs the fish whom is likely to be peeling with bad draws. But pot is so bloated and what do we do on various rivers in this gross spot? Calling turn and folding river seems like burning money as well. Thoughts pls