I think I would have liked to see a check on the turn, followed by a small bet on the river.
1. You dont want to blow your opponents off of weak 1-pair holdings when you are ahead. You block a lot of aces, so they cant exactly feel good about calling 2-3 barrels with a low kicker against the preflop raiser.
2. I think a decent % of the time when you get an overcaller in this situation you are actually going to be behind to sets and flopped 2 pairs.
3. You gain more information about the strength of the
hands you are against because stronger hands are going to take the lead on the river to avoid losing value from it checking thru.
I like a check turn, bet-fold river.
A 2 pair+ hand isnt going to let the river check thru and you know exactly where you are at. If it checks to you, I would bet small, hoping to get called by a 1-pair type holding, and folding to a raise.
I am noticing a lot of players here dont quite get that to extract max value you have to be CALLED by a WORSE hand. Which means sizing appropriately to get a 1-pair hand to call you down in this case. I make huge folds live all the time just because someone bombs it on the flop with what is clearly a premium hand and they make the least amount possible with it.
Dont be results oriented when reviewing hands!
Just my thoughts, goodluck friend!