Penn State held a lead for most of the fourth set and almost forced a fifth until Princeton scored nine of the final 11 points of the match.
The Nittany Lions ended their three-game losing streak by dominating the Boilermakers.
Penn State finishes the season with a 9-3 record.
Teams can train at Jeffrey Field and stay at the Penn Stater Hotel.
Nzeh will be searching for his third program with two years of eligibility remaining.
Rust became the sixth former Lady Lion to find a new home this spring.