Rose's Cabin was actually a hotel and saloon which served travelers taking the Engineer Road. The building was torn down in 1950. The balance of the Engineer Road is suitable for 2wd vehicles. Continuing east you will pass the site of Capitol City and then the remains of the Ute-Ulay Mine in Henson. Continuing on, you'll arrive in Lake City, which is the Hinsdale County seat.
Lake City is a great little town.
Stop in some of the small shops, visit the Hinsdale County Museum, or have lunch at Mammy's Restaurant. You can return to Ouray via Cinnamon Pass and complete the Alpine Loop.