I mean you have to fold, but it is interesting as to what he has here. He shouldn't ever have clubs because he should be raise/getting it in on the flop with his stack size. His line looks like k10/kj/kq until the river, but his jam doesn't make sense with those hands. He could have something like 67ss, but he shouldnt really be calling preflop with those hands. A6ss is also a possibilty. of course he could have quad 66 or 22. He might just 3 bet shove 66 preflop, but he could also just flat the minraise getting over 4-1 and set hunt. Thats probably what I would do with those smaller pairs. I can't really see any hands that he calls twice with then tries to turn into a bluff either. He would be 3 bet shoving 88+ for sure preflop. If I had ak here I think we have to fold. Just don't see him bluffing here or value betting worse especially since you said he was a good player.

What about checking back the turn? Are we betting the turn for value, or as a bluff? I dont think we get him to fold a better hand, and the only worse hand he calls with it some sort of 6, but i think there are more kx hands in his range than 6x. I doubt he is just floating oop to try and take the pot away on a later street with his stack size, so if we check back turn and he fires a brick river we can comfortably fold. If we check back turn and he checks a brick river then maybe we can think abot value betting thinnish to get called by a 6.