New Braunfels Rural Health Clinic. 705 Landa Street, Suite C, New Braunfels, TX 78130. Office Number 830-629-3614. Fax Number 830-629-2438. ... We are currently accepting new patients. CALL TODAY- we NOW offer CASH PRICING for private pay. Learn More. Clinic News. UPCOMING HOLIDAY CLOSURES:Contact‧About Us‧Services.