Samoeng Loop or as it is often called Mae Sa Valley loop is a great outing if you want to get close to nature without having to check out from you hotel in Chiang Mai. It can be done as a half day tour or full day. Depending on how many stops you want to do.
You are probably familiar with Wat Doi Suthep, maybe also Wat Doi Kham, but how about Wat Ban Pong? It is another temple, or at least a pagoda on a hill top. And with a great challenging staircase for the people that wants the excercise. Chiang Mais white pagoda on the hill really stands out in the landscape, and the temple is really one of these local treasures. Still under construction it will take some time before it becomes a major tourist attraction.