bet/call $.50
No matter what we decide on the river, we need to either get him to bet/shove his missed draws and gain some value from all the made hands he wants to check back. Hands like 67/77/T8dd/etc..
He has a really wide range of hands as it was BvB, he's in position, and this board presents not only a lot of draws, but a lot of pr+draws and the like.
It's hard for him to get to this river with a hand better than ours. Let's imagine he raises the flop with the vast majority of hands that have us beat on the end along with some strong draws that might have showdown value (like 5x diamonds, Ace high diamonds, TXdd, etc...) and calls with hands like 67o, 77, and whatever else would just call the flop.
Also, if he happens to have a hand like J9/Q9/97 we'd like him to shove, and betting big probably dissuades him from doing so.
So I just do what I like to do a lot, and bet the same amount on the river than I did on the turn. His really weak showdown hands will psychologically be forced to call while he still has plenty of room to either value cut himself or bluff shove.
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