preflop raise size is WAAAAY too small. OOP with $60 in the pot before your raise, I'd make it at least $80, maybe $90 total.
As played, flop bet could be smaller closer to $90 seems sufficient. This gives you a cheaper c-bet the times you miss and still want to fire (Like with Ace-broadway with one club, Axcc, Kxcc and others).
As played flop, turn is a rough spot. I would probably fire again on the turn since we don't have a club and can more comfortably fold to more action. I'd much prefer a check with AcQx. I'd fire something like $300 or so and fold to a raise. Probably check/folding river if called since we have stronger hands that can check call river like AA/KK/QQ.
As played turn, river bet seems ok. We might get to the river this way with a lot of air so betting somewhat decently sized makes some sense.
As for what to do if he raises... I dunno. Probably call since we don't have the A
? Another iffy spot.