Rifle is a sport sanctioned by the NCAA and UNL is the only college in Nebraska that has a team. College shotgun sports are organized by the ACUI (Association of College Unions International).
The ACUI hosts the Collegiate Clay Target Championships in San Antonio Texas each year. Teams compete in American Trap, American Skeet, five stand, Sporting Clays, International Trap and International Skeet. They also host the CTC Shotgun Bowl series.
http://www.acui.org/claytargets/The Upper Midwest Conference Championship is held at Heartland Shooting Park in Grand Island.
Last year 6 colleges brought full teams of at least 5 people. They also had a few high school teams.
The Midway USA trust fund
http://www.midwayusafoundation.org/page.aspx?pid=329also provides funding for high school and college teams. If you donate to the fund for a specific school, Larry Potterfield will match that donation 2 to 1. So a $100 donation becomes $300. The teams can take a percent of their trust fund each year without touching the principal.