Campbell (6-7) overcame an early 9-0 deficit and used a 16-5 run ignited by a Reco McCarter 3-pointer to move out to a 51-37 lead midway through the second half.
Georgia Southern (7-8) fired back with a surge of its own to pull within one on a Brian Holmes 3-pointer with 2:03 remaining, but McCarter and Ray each hit layups to push the lead back to five.
After three Jelani Hewitt free throws, Ray and Kyre' Hammer each hit a pair from the stripe to ice the game.
The Fighting Camels shot 43.6 percent from the field and outrebounded Georgia Southern 37-27. Leonard had eight boards and Ryan hauled in seven.
Tre Bussey paced the Eagles with 18 points and Hewitt added 13.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.