There isn't much info on these types of traps.i know they would be bulky and cumbersome but if you could set 1 in the den entrance wouldn't you have a good chance of catching all of the beaver in a single setting providing its legal in your state.

You would never be able to lift it when full. Plus you wouldn't want to use them if you wanted the fur. I would think they would be bit pretty bad.

Not sure about other states but up here we have max dimensions of 7x7x40 on colony style traps. I’ve heard of people getting small beavers in that size and I’ve caught a small otter in one once that was made of old lobster trap wire . You would have to use a heavy gauge wire panel like that if you were going to attempt one for beaver.