What is the phone number for the health plan? Phone Number of US Family Health Plan is (800) 241-4848 . US Family Health Plan is an insurance organization that is committing operation on national level and is affiliated in securing the lives of defense authority serving the country.Is buckeye health plan medicaid? Medicaid. Buckeye Health Plan (Buckeye) is a health maintenance organization that has been providing services in Ohio since 2004. Buckeye is a wholly-owned subsidiary of Centene Corporation, a leading multi-line healthcare enterprise offering both core Medicaid and specialty services.What is buckeye insurance? buckeye insurance is the most common alternative name for Buckeye Insurance Group, but Buckeye State Mutual Insurance Co. are all alternative names for Buckeye Insurance Group.