Experimented with this idea 25 years ago using stovepipe in a smaller damm. It looked promising and I reached retirement. This was in Nova Scotia, Canada but a beavers are beavers everywhere
If you live in an area where there are seasonal droughts and you fear or hate beavers you need education. Beavers are the best drought prevention you can get. Work with them nit against them. They will even reduce wildfire risk and damage.