HHSC Benefits Office- 34th SNAP Office is located at 5806 W 34th Lubbock, TX – 79407. Located in Lubbock county. This office provides the following services:SNAP food benefits Cash Help for Families(TANF) Medicaid for families and childrenSNAP 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.