Vol sophomore David Skinns finished three strokes back of Parnaby, tying for 18th with scores of 72-72-74--218.
John-Scott Rattan finished tied for 49th with a 74-77-74--225, while fellow sophomore Ross McGowan finished tied for 58th with a 72-74-81--227. Senior Andrew Pratt finished tied for 62nd at 79-75-75--229.
D.J. Trahan of Clemson claimed the individual title with a playoff win over Dustin Bray of North Carolina and Ryan Baum of Duke. Trahan shot a 73-71-67-211. Bray fired a 69-67-75-211, while Blaum had a 68-75-68-211.
The Vols return to action March 3-4 at the Cleveland Golf/USC Southwestern Invitational in Los Angeles, Calif.