When I block so many of villain’s strong hands, I think the most profitable play is to bet small. That way we extract some value from villain’s unblocked medium strength hands. I don’t worry about missing value on the rare occasions when villain has a very strong hand, because they will likely raise you if they have e.g. a full house.

Betting turn with AhAd is probably better than this combo. We still want him to have flush draws on turn and he is going to have less of them when you have Ac here. Checking turn might be better with any combo of AA. This gives him a chance to rep something on the turn when he was floating flop. We don't need any protection on this particular board but I can think of many different turn cards where betting will become mandatory.

good to check somewhere (flop or turn), if opponent is stationary can triple much more often.