From what I read, you can indeed have a hive and let them keep their honey. You may be interested in some of the folks like Corwin Bell, and the Barefoot Beekeeper, and BushFarms.
My plan is to take perhaps one top bar every couple of years or so. What I mean is, the honey from one top bar - that could easily by 5 pounds of honey - much more than I currently use.
My aim is also to improve pollination and protect some bees.
You may appreciate this recent video.
What I don't know about bees would fill a large library
But I have come across people writing that if you don't take honey, or if you don't do this or that, the hive might swarm. For someone who is not trying to follow recent conventional-industrial practices, that may not bee such a bad thing, as that is the way new hives are established. So you may want to read what the above folks say about letting the bees branch out and establish new hives. There are ways, I have read, to attract a swarm to a particular spot.
Please look over some of the above and share your thoughts.