Perhaps a moment of humour might be appropriate.
Do you have any high voltage power lines going over your property at the beavers favourite swim spot? Say 4 to 33KVA lines.
If yes, how about driving a metal stake into the water at the beavers favourite swim area and connecting it to a substantial piece of wire. In turn construct yourself a Roman trebuchet as per this URL -
http://www.youtube.com/watch?v=-wVADKznOhYPut a weight on the end of the wire, and load the weight into a cup or basket at the end of the trebuchet. Observe beavers in water at the right spot - launch trebuchet - the resulting earthing of the power line might toast the said beavers.
The electric company might not be too happy.
Alternatively, just construct the trebuchet, catch the beavers and throw them into the United States.
David