Re: line for bottom set on monotone board
If he is some taggish player I'd imagine his range is either Ax suited or some suited connector that already has a flush with maybe an occasional float with a pocket pair. With that range it's probably best to check since ax will probably fold and getting raised on a blank turn would be sort of gross if you bet.
And I don't really imagine a heart turn/river will change a whole lot versus his range except make him slow down with an already made flush.
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