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I'd push the flop.
Did he have 2 hearts?
I'd also move up to the $11s since they aren't really any harder than the $5s.

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I think it's a good idea to try and ignore his actual hand. His range is what I'm curious about, and I'm not sure what it is. I play the 5s and not the 11s mainly because I'm a pussy who likes this game and hates losing money to variance/dumb plays like these.