Steamboat Springs has a great spot in Yampa River Botanic Park. It’s usually busy during the day but tends to die out around 3-5 in the afternoon. Either way, no one is likely to bother you while you’re there, and the views of the river and nearby bridge (especially lit up at night) can’t be beat. You’ll have almost 40 acres of land to explore, so finding privacy and a suitable view shouldn’t be an issue at all.
If you’re looking for relaxation, how about Strawberry Park Hot Springs in Steamboat Springs? It boasts one of the most amazing natural Mineral springs and is completely surrounded by trees. They also offer private massage huts and areas for you to relax in peace. No youth under 18 are allowed after dark.