Bevan was an Associate Professor and coordinator of the String Division in the School of Music at BYU until her retirement in 2013. Previously, she served on the faculties of North Park University, Northeastern Illinois University, Eastern Illinois University, and Northern Michigan University.
Bevan performed with the Los Angeles Chamber Orchestra under Sir Neville Marriner and was principal cellist of the Chicago String Ensemble for fifteen seasons, appearing frequently as soloist. She was a member of such chamber orchestras as the Storioni Ensemble and the Ars Viva Orchestra, both in Chicago, and was principal cellist of the Sinfonia da Camera in residence at the University of Illinois at Champaign-Urbana. Bevan has performed extensively with orchestras such as the Omaha Symphony, the Nebraska Sinfonia, the Pasadena (CA) Symphony, Symphony II (Chicago), and she was principal cellist of the Lake Forest (IL) Symphony. She has appeared as soloist with orchestras and in recital throughout the West and Midwest.
She was the principal cellist of the Chicago String Ensemble for fifteen seasons. She was cellist of the Fontenelle String Quartet of the Omaha Symphony and the Testore Piano Trio, and was cellist of the Deseret String Quartet in residence at BYU from 1982 to 1988.