Lone Star Circle of Care Share: Non-Profit & Civic OrganizationsHospitals & Health Care Clinics Lone Star Circle of Care Visit Website Request Info 605 Old Austin Hwy. Bastrop, TX 78602 (877) 800-5722 Facebook Twitter Hours: Monday - Friday 8am - 5pm About Map About Lone Star Circle of Care provides exceptional and accessible patient centered healthcare for our Texas neighbors. Directions Behind HEB in Bastrop. Next to Bastrop Intermediate School and in front of Riverside Grove. What's Nearby? Distance: 5 10 15 20 25 50 mi.