One of the areas I've been struggling with is how aggressively to play aces when I've raised in late position and flopped an overpair + nut flush draw

Example from a recent hand:

.02 - .05 6max zoom
MP1: Folds
MP2: Folds
Hero (3.75): A2A10 Raise to 0.15
Button (6.00): Calls 0.15
SB (7.00): Calls 0.15
BB (32.00): Calls 0.15

Flop (0.60): 348
SB: Checks
BB: Checks
Hero: Bets 0.60
Button: Calls 0.60
SB: Folds
BB: Folds

Turn (1.80): 3486
Hero: Bets 1.80
Button: Calls 1.80

River (5.40): 34869
Hero: Checks
Button: Checks

Showdown: 34869
Hero: A2A10 for pair of Aces
Button: 5586
Button wins with two pair

Commentary:
I checked the river because I wasn't going to fold any better hands out with an all-in bet of just over 1.00 into a 5.40 pot, even if the button was worried about a straight on the board.

Is this hand standard as played? Should I have checked the flop and called down for pot control?

bet flop, c/c turn, c/f river

I would probably check this hand down against just 1 villain and bet it against multiple villains.

We are much more likely to get to showdown and win with our one pair against 1 villain, they're much more likely to bluff, and we're not getting as much odds on a bunch of people calling and us hitting our flush.

With multiple opponents, protecting our AA or building a bigger pot for us to win with a flush make this a bet.

This logic is interesting but doesn't work because AA2+dd is a monster against one player.

I just think betting the flop here often gets villain to fold a hand that has like 10% or less equity against our hand. And it makes sure that the times he has a hand that beats AA, we pay the max to draw to our flush.

Sure we occasionally get to play a big pot when he has a dominated hand like KKxxdd or 567xdd but we're only 56% to win against the latter.

I think getting him to put money in with the hands that are nearly dead on the flop outweighs the loss of value from his dominated hands. Also, we avoid bloating the pot against sets where we then have to get lucky and hit a flush.