Gunnison Valley HealthGunnison Valley Health is a critical access hospital in Gunnison, Colorado, in Gunnison County. The hospital is a level IV trauma center. It has 24 beds.HistoryThe hospital was first opened in 1938. It is owned and operated by the County of Gunnison. The hospital also operates clinics in Crested Butte, Mount Crested Butte, and Telluride.