SHB...got 'em here just east of you. I usually can see a few in each hive from March through October, and after that I'm sure a few are still there, I just don't see them
Problem? Not really. It stays cold enough late enough in the year that they don't really thrive, although they do overwinter in the hives.
Pollen patties early in the spring aren't a problem due to temperature, and they aren't really necessary any other time.
Same with wax moths...just don't leave unprotected comb around, especially comb with pollen in it and/or honey and neither should be too big of a deal.