If you input a range close to what you said (just more Ax since there is no difference between A2 and AJ in your opponent's range, he has them both, you see that your cbet is not that good.
Board: A♦6♠7♦
Equity Win Tie
MP2 35.28% 35.28% 0.00% { KhKs }
MP3 64.72% 64.72% 0.00% { JJ-88, AJs-A2s, K7s, 98s, 54s, KdQd, KdJd, QdJd, KdTd, QdTd, JdTd, Kd9d, Qd9d, Jd9d, Td9d, Kd8d, Qd8d, Jd8d, Td8d, 6d5d, 6d4d, A9o-A2o, 98o, 54o }
Basically, when you get called, you have 26% equity so you lose the hand extremely often. You have to think more about your equity against his calling range before you cbet.
On the river, I would say about half of his Ax would have bet on the turn so he only has about half of those combos. Same with the flushes.. He won't always check but won't always bet so we make an estimate of 50% of the time with each.
Board: A♦6♠7♦ 4♦ A♠
Equity Win Tie
MP2 42.91% 42.91% 0.00% { KhKs }
MP3 57.09% 57.09% 0.00% { JJ-88, AJs-A2s, K7s, 98s, 54s, KdQd, KdJd, QdJd, KdTd, QdTd, JdTd, 6d4d, A9o-A2o, 98o, 54o }
As you can see, we are slightly behind. That is just an approximation though so river is close between value betting thinly and check/calling. Given that your opponent definitely goes to showdown too much I would opt for a value bet.
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