"For relocation"? We cannot release them in my state w/o a stocking permit, and you ain't-a-gonna-git-one for beaver from our DNR. Also, we have to have written permission to release them on public or private (landowners' permission) land. No one is going to give you permission, because no one wants them on their land.
I'll be the first to say that the law is not the same from state, or in all states. However, the above is reasonably common to a number of states. What is the law in New Hampshire?
From time to time we get asked to do some ADC beaver work, and the landowner(s) don't want the beaver killed. They want us to take them (the beaver that is, but sometimes I think it ought to be the landowner) out in the woods and turn them loose. We cannot do that, and the fact that we are legally prohibited from doing it, is a simple explanation to the landowners.
We have lost some work because we won't take the beavers down to the nearest water, and release them. But we loose very little, as most folks understand that we would be in violation if we did.