Whitney Oaks Care Center Nursing Home in Carmichael, California. Whitney Oaks Care Center in Carmichael, California is a private nursing home that accepts Medicare and Medicaid. This is the second highest ranked center in the city, but you have 8 other local options. The highest rated Carmichael facilities are: Rosewood Post Acute Rehabilitation - Smart Rating of 85 out of 100. Whitney Oaks Care Center - Smart Rating of 91 out of 100. American River Center - Smart Rating of 87 out of 100.