Monotone flop, unknown goes allin

[NotFadeAway]

I would expect this guy to either be an overexcited moron with a flush or a scared donkey with two pair or so at one of these tables. Either way I can't imagine ever calling here.
As for the price you would need, I would think that you would need a pretty large one (although I don't know exactly how big) since you lack the jack of hearts. With that card you could call much more often.