A little clarification. The NCAA has a full rifle program as one of its sports. The course of fire is 10m air rifle and 3 position rimfire. Many schools offer scholarships for this program. There are between 30 and 40 universities that offer rifle as an NCAA full sport (i.e. NCAA compliance requirements). The UNL team is a women's team only, some school have both mens and womens teams and some schools have mixed teams. All teams compete against each other regardless of gender. (the UNL decision helps with title 9 compliance). UNL is currently ranked 9th in the nation and typically places in the top 10.
The shotgun sports is not an NCAA sponsored sport. It is organized by the ACUI (Association of College Unions International). They have american trap, skeet, sporting clays, five stand, international trap and skeet. There are two programs which offer scholarships (that I know of) in the shotgun sports. They are Lindenwood University in Missouri and Midlands in Fremont. About 60 universities competed in the 2013 championships. UNO did not compete in 2013. In 2012 they placed 10th in trap. Kansas State, Iowa State, Oklahoma State, Fr. Hays State, Central Missouri, Missouri, Colorado State and Wyoming all have competitive teams in plains area.