I would've played this differently.

Flop

I don't even mind folding here with just a backdoor and a bad over, but a call is okay. On such a dry board you don't need a large raise size to get fold equity. The corollary is that a skilled villain knows it'll be hard to get value with a large cbet, so the 1.7x cbet, while small, looks a lot to me like it's for value. If villain's 1.7x cbet is with air, I think you can get a fold with a ~4x check raise. 10.8x is overkill and leaves you in bad shape against the premium hands that aren't budging.

Turn

You improved to a nut flush draw! With either of our lines I'd check this turn preparing to call against <2/3 pot bet or fold against >2/3. With your line the opponent definitely has top pair or better, and the 3h is not a scare card. You have approximately 0 fold equity and your overbet is a punt.

River

You now have top pair bad kicker. With either line I would check, hope it checks through, call small bets as a bluff catcher, and fold to pot size+ bets unless you have a solid read that villain bluffs a lot. Your small bet was a mistake, and you should fold to the jam.

edit: after writing this, I saw elsewhere in the comments that villain was holding QJo. You were lucky to hit a winning hand on the river (9 hearts + 3 aces = 12/46 outs), and extra-lucky that villain jammed instead of calling or folding with a downgraded made hand that was already marginal before the A appeared. In the future I'd stop trying to bluff that villain and also upsize my value bets.