Unity Healthcare in Lafayette, IN. Health (6 days ago) About Unity Healthcare. Unity Healthcare is a group practice with 51 locations. Currently, Unity Healthcare's 102 physicians cover 39 specialty areas of medicine.Lafayette Rehabilitation Services. 1411 S Creasy Ln Ste 100 Lafayette, IN 47905 (765) 447-5552.Monday : Indiana Spine Center Logansport. 1201 Michigan Ave Ste 120 Logansport.