[ACPlayer]

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Most players dont bet a small two pair on the river often enough when checked to. Against this player it is right to bet sixth (unless he catches a three flush or open pair), IMO, then check seventh unless you improve.

In general, on sixth, it is better to bet if you know you will call and dont fear a raise.

On seventh, I am inclined to bet 2 pair or better and call a raise (unless i know the player or have a read) .

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Yes, in GENERAL it is correct to bet instead of check calling if a raise is unlikely. However, as the preceding discussion has shown, this is CLEARLY not a general situation.

Lets see how we do with your line vs various hands (assuming he checks two pair UI on the river) and how my line does:

-Opponent misses flush draw and hero is UI: both lines loss 1 bet
-he makes a flush on river and hero is UI: your line -2BBs, my line -1BB
-hero improves on river, he makes flush: your line -3BBs, my line -1BB
-hero improves on river, he rags river: your line +1BB, my line +0 BB
-he has 2 pair, neither improve: both lines lose 1B, if op bets river, your line loses 2Bs
-he has 2p, hero improves: both lines +2Bs
-he has 2 p and fills:both lines lose 3Bs

Throw in the fact that our kickers are dead, making it less likely for us to improve, and it is very clear that check calling 6th and then playing the river I a suggest is best.

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OK, first we have only one side card gone (the six). Fours and tens are live. He has three flush cards that are gone.
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he makes a flush on river and hero is UI: your line -2BBs, my line -1BB

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This analysis makes no sense to me. Do you check down AA from fourth if the guy has a flush draw? After all you will save bets when he makes his draw.

So, I charge him to draw out and take the chance that he has two pairs (in which case, I will draw out on him). Note that on fifth I have 9 cards that make me 2 pair or better, and on sixth I have 12 cards (if i catch live) to make 2 pair or better. He has 6 clubs he can catch and a Jack (giving him JJ with a flush draw, his most likely hand) to beat our aces up.

I like betting.