Hinrichs totaled 10 points and a game-high 12 rebounds to help Lafayette (12-13, 5-3 Patriot League) outrebound Navy 35-24 and outscore it in the paint 24-16.
Navy (7-17, 1-7) scored the first eight points of the game, but Lafayette fought back to take a 14-12 lead on Rufer's 3-pointer at the 11:04 mark. Lafayette led at halftime 35-20.
Lafayette shot 52.2 percent (24 of 46) while holding Navy to just 37.3 percent (19 of 51).
The Leopards led by as many as 25 points.
The Midshipmen were led by Worth Smith with 13 points, but he was the only player for Navy in double figures.
Utah forward Brekkott Chapman, who averaged 4.4 points and 2.8 rebounds last season, has transferred to Weber State, coach Randy Rahe announced Wednesday.
Former LSU forward Ben Simmons joins The Paul Finebaum Show to talk about the prospect of being selected first in the NBA Draft.
Former Kentucky guard Jamal Murray joins The Paul Finebaum Show to discuss his mindset on the eve of the NBA Draft,