I know this well enough from Canada. The area I lived in Lethbridge, Alberta, had lots of beavers in the Oldman River valley. There, the city covered the bottom of the tree trunks with layers of chicken wire. At least the ones that are close to the water. So have you seen any beaver dams?
The worlds largest beaver dam is actually in Alberta, where I lived - and I had been to the Wood Buffalo National Park, but in winter, and there are no roads into it, a area larger than Switzerland. I was at Fort Smith, the gateway to the park.
RE: Signs of the Beaver