Hi,
If he thinks you're a straightforward player that means he'll expect you to fold whatever you 3bet him with to a 4bet unless it's QQ+/AK. To me that means he can and will often flat KK+ in that spot, maybe even QQ, probably way more often than he will flat 22/33 given those are also less likely from a combinatorial point of view on the flop comes. He will play those hands the same way postflop on a Q-high board.
I would personally bet that turn, if only to show him i can have a strong hand when i fire again after a c-bet. Even if you think he's messing with you, you're probably better off letting him bluff raise the turn rather than checking behind hoping he donks the river, you gain more money this way i believe.
As played when you don't bet the turn you're basically telling him that you are pot controlling with some hand you probably don't want to stack off with. Either that or you have nothing. Either way the best play for him if he has top pair beat is to check the river to you hoping you'll bet it so he can shove, giving you great odds to call with all your range.
So you have :
* Great odds to call.
* A strong hand which you underrepresented by checking the turn.
* Some history making him likely to do that with worse hands or even maybe as a bluff.
* Your image to maintain for future blind battles, you can't let him think you can be nitty enough to fold for those odds on the river.
* Some metagame value in showing down 65s, that will get him thinking that you can do anything with any hand when he tries to steal your BB.
I'm not folding here.
Hope it helps.
