Heading north out of Steamboat towards Strawberry Park, you can peel off on to 38 and start heading up. Lots of opportunities to find a spot far from everyone else. It takes quite a bit of time to get to town or Strawberry Park, so the lower you are the better for that. At the top of Buffalo Pass are a number of good little lakes. They were quite buggy when I was there. Good hiking and mountain biking throughout the forest. A few motorcycles to watch for.
The road up got rough and really did a number on my top mounted bike racks. I wouldn't take anything more than a teardrop or Airstream Basecamp up.
Leave no trace.