I've played about 40 hands or so with the guy, I've been fairly card dead so will seem fairly tight. He hasn't done anything too out of line, stats say 18/13 but tiny sample.

It's nitty to just call here right? I don't think he'll be raise/calling a straight and think 66 and JJ will bet the turn almost always as they don't have K blockers, but can't rule them out completely. If I jam he's in a tough spot with them anyway, I wouldn't expect a random to fold very often but maybe some %.
KJ might chk back the turn as he would have the deck crushed, and would then always raise the river but he might not open all combos UTG and will sometimes bet the turn.

I think I should jam, as I think even though I'm basically never bluffing he might still just call it off with worse. What's the worst FH you're shoving?