Integrity Urgent Care Share: Urgent Care Center Integrity Urgent Care Visit Website 371 Mercedes St Benbrook, TX 76126 (817) 448-8114 Facebook About Map About Integrity Urgent Care is a Texas-based healthcare provider that treats non-life-threatening illnesses and injuries for patients of all ages. Integrity Urgent Care also offers a worker’s compensation. What's Nearby? Distance: 5 10 15 20 25 50 mi.