HHSC Benefits Office- Parkway SNAP Office is located at 1716 Parkway Dr. Lubbock, TX – 79403. Located in Lubbock county. 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.