Yeah I think you can. I don't think he checks AA and KK to often on the flop and shouldnt have to many Qx in his squeeze range either. I'm not sure what hands he can have as bluff apart from like AK but we do get great odds on the river and we only need to be good about 1/5.

I think he is very strongly weighed towards hands that beat you. I squeeze against a tight UTG AQ+, QQ+

I think on the flop he checked because he does not want to scare someone away with his AA or KK. Turn bet looks alot like a bet to gather information (20% pot???) . I think if you raise Villain folds about 80% of the time. On the river he is confident that you do not have a Q and raises but not tooo much in order to extract some value or to minimize the little risk that you slowplayed him.

Again a very close spot after all. you have to be good 24% of the time to break even. I think this is more a marginal spot and nither option is hugely advantageous to the other.
As mentioned I think the highes EV is raising the turn

@FG_SpaceLord raising the turn with this hand is not very good for your range. If you want to have some bluffs there you should pick a hand that doesnt have this strong SD value and preferably something that either has EQ vs his calling range or something that blocks his bet/calling range.

@Prostaker Thanks for going through my post.

You are perfectly right. There is actually no hand we can have that would check the flop and raise the turn as we were last to act on the flop. every Set and every Q would bet.
I withdraw my suggestion to raise the turn

For that sizing after previous weak actions I'd call, shrug whatever and move on.