I don't know if they'll grow in zone 3. They usually are grown in zones 5-8.
Hmmm! This sounds doable. I'll ask Ed, my "bee guy" if he's ever done that.
I'm going to guess that the reason I haven't heard about this at bee club meetings is because it is cheaper and easier to feed sugar, sugar syrup, or patties, and anyone harvesting honey wants as much as they dare take. Sugar is also easier to store than frames of honey.
The beekeepers I've met at the meetings sell a lot of honey. Ed charges $48/gallon, and the last place I bought honey last year was $55, up from $48 in 2021. And that's buying it by the gallon; I don't know what anyone charges by the pint or quart.
Oddly enough, I have heard from several people that beekeepers start keeping bees to get honey and to have pollinators. But they get out of keeping bees because of honey. It's messy, kind of a PITA to extract, attracts lots of insects and mice, and you might not get enough to make it worth your trouble.