my standard play is lead flop and turn and then likely c/f river
Not sure this is the most optimal lane, but against standard abc player would not raise my lead with air, since I take that line in his eyes also with AQ+ and I basically don´t get blown off by better hand
yeah, turn barrel is quite nasty. Mostly instructors suggest if players would barrel flushdraws on the turn they should also continue on the river, so i guess river bet would be there quite often and if you call turn you should call river, but given his bet size I think he is also just betting once and then take his free showdown smt like JJ or QTs, so if you want it is also very reasonable line to c/r turn and shove river

(although I would never play that way

)
If villain checks turn I´d valuebet river around 5$. Don´t expect to get called too many worse hands, also don´t expect bluffed too many times if I check river, so I can´t really c/c also. He may call us down with 99/88 or strong 7x