If villain is a rec player you have value with your TPTK.

Whats the bluffing range on river at equilibrium? Suited broadways that block Qx suited and Ax bdfd flop floats?

I would not cbet this flop, i think you don't have pretty any fold equity here, he has to fold more then 25% of the time if you want that this bluff will be profitable. Which hands do you think he will fold on the flop, to bet only for prtection i think this is not the best idea.

EV of checking and betting small is probably very close and range betting makes range easier to play than splitting flop. Might be a range bet at equilibrium anyway. Blocking best call downs for villain will also present decent barrel opportunities. Can potentially get value from worse Ax with bdfd, protect equity against some suited broadways that bricked. Don’t see issue betting small here with range...

I would bet on the river around 2/3 to get value from ax from qx.

Gonna be a pretty easy jam vs Ax bdfd that has to peel flop vs sizing

Also i have a question, if you hold for example aq, do you bet on the flop, also small or you deviate from small sizing?

I just think for example that diviate from small sizing it's good idea if we play for example vs fish