These spots often come up and I often find them difficult to play.
Merits of double barreling with this stack size of the club turn card with this stack size? Are you risking too much?
Don't barrel this turn against this player. He looks like a tight/passive nit. He hit the flop, we're going to need to three barrel to move him off anything, and that seems pretty ill-advised.
With the Ac/Kc on this turn specifically, a more aggressive line would have significantly more equity, but against this villain I'm still checking back.
You played the hand fine. Bluffing the turn is bad as V will call you with top pair. Nothing you can do on the river, just fold.
With Ac or Kc in your hand you can check the flop and bet the turn as you have showdown value and your hand may improve on later streets. The club in your hand would serve as a blocker against a flush draw.
I've been debating back and forth whether you can b/f all three streets and I believe you can.
In his range that calls flop that you can get to fold on turn and/or river - 77,88,99,tt,jj, KQ, QJ, A6, A5. There could be some straight draws but I have a hard time putting him on a hand like 78s or 34s oop. You could argue that he wouldn't call flop with those pocket pairs but I think a lot of players do even though almost any turn card is bad for them.
Hands he won't fold - Flush, sets
You can get a 15/9 player off a lot of stuff if you b/b/b unless you yourself have a fishy/aggresive image.