Beavers are cute and clever, but you don’t want one in your neighborhood. They ring all the trees, including the ones on your property, and they flood wherever they see fit to do so.
We had a young male beaver move into our goldfish pond a few years ago, looking to find a wife and set up house. He would have ringed all our trees and flooded our basement. The dogs barked at him, but no way they could catch him in the water.
The nuisance animal ranger, when I phoned, said he didn’t do that sort of thing, but that I should trap or shoot it myself. Trapping and releasing just means that you inflict that damage on someone else. So, we were working up to the point of shooting it when I guess he got tired of the dogs endlessly barking at him and moved on somewhere else.
Parachuting them into a neighborhood isn’t really very nice.
Game Warden came through, knocked on everyone's door, took the time to warn everyone in the area what he was about to do, and used dynamite and a detonator to blow the dam.
Beavers came back. The second and third times the road flooded, the Warden did the same - warnings and careful detonation.
However, beavers are persistent creatures. By the 6th or 7th time, the warden was more-or-less lighting the stick of dynamite off his cigarette, and tossing it out the car window at the dam as he drove by.
Eventually, an "agreement" was made with a local trapper. Trapper came in, the warden arranged to have his attention be elsewhere for awhile, and *poof*, the beavers were gone. Imagine that. :-)