I'm struggling to find an all-time Zips Men's Soccer roster (only all-time letter winners are listed in Media Guides), but if you look at David Jordan's twitter account (https://twitter.com/godj03), he is followed by Sinisa Ubiparapovic. Not conclusive, but an indication that he may have played for the Zips.
EDIT: Born in 1986 means he would have been 18 in 2004. Therefore, my guess would be 2004-2007/8. The archives on GoZips.com go back to 2005. Did the Zips really only have 13 players on the roster in 2005? Unbelievable that the team would only have 2 possible subs.
2005 roster listed (http://www.gozips.com/sports/msoc/2005-06/roster)
15 Matt Augustin D So.6-1180Silver Lake, Ohio / Walsh Jesuit
4 Elliot Bradbrook MF So.6-1180Kent, England / Leigh City Technology/Ashland University
1 Evan BushGK RFr.6-3185Concord, Ohio / Lake Catholic
17 Steve KalanMFSo.5-10165Highland Heights, Ohio / Mayfield
8 C.J. KaufmanMFFr.5-9145Tucson, Ariz. / Salpointe Catholic HS
7 Ashley KozickiMFJr.5-10165Kresgeville, Pa. / Pleasant Valley/St. John's
32 Vince LaGuardiaGKFr.6-0180Stow, Ohio / Archbishop Hoban
11 Jonathan McClainMFJr.5-8140Huber Heights, Ohio / Huber Heights Wayne/Wright State
5 Ossie MichalsenDFr.6-0170Bergen, Norway / Soccer Academy of Danielson
23 Pablo MoreiraFSo.6-3185Broadview Heights, Ohio / Brecksville
19 Stefan OstergrenFFr.5-8145North Canton, Ohio / North Canton Hoover
6 Corey SiposDJr.6-2175Tucson, Ariz. / Salpointe Catholic/Fresno State
10 Sinisa UbiparipovicF/MFJr.5-9155Mentor, Ohio / Mentor/Illinois-Chicago