Auburn finished with a team total of one-under par 863 at the Red Tail Golf Club. Trapani shot a three-under-par 213 for his first collegiate title.
"We are really excited about the win," Auburn coach Kim Evans said. "We got off to a decent start and played really solid in the middle of the round.
"We lost a few strokes there at the end on what ended up being a windy golf course," she said. "It played tough with a good field and a few very good teams here, but we were able to hold on for the win.
"Victoria got her first win which gives us three wins this year and we are pretty excited about that," Evans added. "She just started right out of the gate so strong and just had a way about her. She maneuvered her way around the golf course and was a real fighter."
Diana Fernandez tied for fourth at one-under-par 215, Haley Wilson was tied for seventh at 217, Marta Sanz tied for 25th at 222 and Carlie Yadloczky was 53rd at 227. Competing as an individual Patricia Sanz was tied for 20th at 221.