I think you kinda underplayed your hand with turn sizing, but it still has to be kinda check/fold with your two pairs.

I absolutely think that he can vbet another two pairs, so i wouldnt fold A7 in here, but difficult to find in BTN range worse two pair combo than A2.

And i expect that he has very hard time with finding enough bluffs on diamond rivers.

Its perfect spot to overbet turn, I dont see any reason to bet so small on turn unless you expect him to often take a bait. River is meh, but I think you should still valuebet vs fish.

In general, turn bets should be bigger than flop bets (as % of pot). Not sure what's going on with the very small sizing. I would bet big (75% pot or more). If you had some draw like Td9d, you would bet big as well, right? So, you should bet big with your value hands as well.

As played, I like check/calling the river. You have a good bluff-catcher. Besides, villain could be value-betting worse, like 87s. If you bet, what worse hands will call you? Only 87s, I think. Maybe some top pair if Villain is a calling station.

I've been playing with overbets recently and I think this is a spot you can overbet turn. I expect villain to be pretty capped here so an overbet to get value from draws and top pair hands is great. I used to just bet 75% pot on the turn and I also think that's fine, but you definitely need to up the turn barrel sizing. River is a check call for me as a bluff catcher as you also block the nuts

He is fish, i lwould bet around 3/4 on the flop, 3/4 on the turn and 3/4 on the river. If you have information about that he can call overbets i would overbets.