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Check call.

I hate that you open him up for a huge bluff there. At this level people constantly push when they miss their flush. Your also usally ahead here. I bet 50 and consider calling an all in depending on how wild this player is. By betting your sending a message that your strong and a player contemplating a push for a missed flush will give it up most times....

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Why on earth would you want your opponent to know how strong you are? If checking is going to induce him to make a big bluff I see that as only a good thing. I also suspect players do not usually bluff 2x the pot all in this spot very often, but I am unfamiliar with the game so it COULD be possible.

Note, there is definitely value in betting this river since you are ahead so often, I just feel that you are going to make more by inducing hearts to bluff or a good ten to value bet.