Avid snowshoers? If you find the areas around the town of Park City a bit too crowded, or you don't care to see rooftops in the distance, try making your way to Wasatch National Forest. It's a quick drive to Kamas, UT and the road into the High Uinta area (Mirror Lake Highway - Utah State Route 150) is open for the first 20 miles or so into the forest and a few nice, well marked trails are found in that stretch. However, you may see or hear snowmobilers in that area.
If you don't have a vehicle during your stay, but wish you could get out there and back for a day, our company (Park City Four Wheel Drive) offers one day rentals. We deliver and pickup the vehicle directly to your accommodations.