Hage posted rounds of 68, 70 and 69 to finish four strokes off the pace set by Sydnee Michaels of UCLA, who was 13-under-par.
"I am extremely proud of how our girls played this weekend," said Auburn coach Kim Evans, whose team was in 14th place after the first day of competition.
""They really battled back the last two days and we played a great two rounds of golf," Evans said. "We met our goal of advancing to the NCAA Championship and we look forward to finishing our season with a chance to bring home the national title."
For the Tigers, it was their 11th time to qualify for the nationals in the last 12 years.
Hage's 207 total was a career three-round collegiate low for the senior All-American. Margaret Shirley was 36th for the Tigers at (75-70-73--218), Abigale Schepperle tied for 44th (76-71-72--219), Candace Schepperle tied for 48th (73-73-72--220) and Marisa Milligan tied for 62nd (75-71-78-224).