Here, we shoot them when we see them. Usually early in the morning or towards last light. I don't understand the part about not being able to shoot them because of the highway being close. I would try to find a way to position myself so the highway is behind me and the bullet is gong away from the highway, towards the beaver. The only way to get rid of beavers is to kill them. In CA, where I'm from and where hunting laws are kind of crazy, they allow shooting beavers at night with the use of lights because of all the damage they do to the Delta and the levees. If beaver cannot build a home in the middle of a shallow pond, it will dig a tunnel into the ground or the dam and build it's home there. Dam failure because of beavers is very common there. Even with massive chunks of concrete along the shore, the beavers still find a way to dig their tunnels. If you let the beavers remain, it's just a matter of time until one of them digs a tunnel into your dam. In CA we would shoot them at night from a boat with archery gear. Some of my friends where really into that and we would get some huge beavers. I think 90 pounds was the largest that I saw. In a good night, we might get two dozen of them!!!! They swim around non stop all night long and you just ease the boat up to them close enough for a shot. It's not very challenging, but it does get interesting after the shot. If my beaver issue gets any worse, that's what I plan on doing, but so far, we're able to shoot a couple every year from the shore line to keep their numbers under control.