well....i don't see this as much differant from a non-beekeeping neighbor wanting damages for being stung...or charging you for "rent" on their swimming pool if your bees are keeping them from enjoying it.
i think this goes along with the territory of being a beekeeper. the best "solution" (imho) is for you to help this beekeeper with the shb problem....as it is your problem too.
be thankful is shb, and not afb.
deknow
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