Pretty much one of the worst cards in the deck since it improves KJ, JJ and also hands like J9s and the occasional QTcc/ss/dd. I made some sims about this spot and it came out that I'm not ahead vs his calling range anymore and likely won't get 3 streets from most Kx anyway. He can also make my life miserable on many river cards. I'm not saying he does this on purpose because he's likely fishy and rather str8 forward but he kinda automatically will.

So is this a spot where I'm better off checking and maybe even folding to a bet since most of his worse pairs will check back and basically all of his draws will have hit at least a J and very likely check back as well?