HHSC Benefits Office- Edgemere SNAP Office is located at 11295 Edgemere Blvd El Paso, TX – 79936. This office provides the following services: SNAP food benefits Cash Help for Families(TANF) Medicaid for families and children SNAP food benefits are put on to the Lone Star Card and can be used just like a credit card at any store that accepts SNAP. Contact for more information.