One of your first stops should be Libby Dam Visitor Center. Here, you'll be able to find your bearings and get lots of useful information before you set out exploring.
You won't have to take out your wallet to visit this tourist information center in Libby. It's free, which will be welcome news if you're on a shoestring budget. When you've finished exploring Libby Dam Visitor Center, drop by nearby attractions like Lake Koocanusa.