Duquesne had a chance to tie or win the game after Baron's shot but lost the ball on a turnover.
Will Daniels topped all scorers with 28 points and added 11 rebounds for Rhode Island (15-2, 1-1 A-10). The Rams have won 10 of their last 11 games.
Reggie Jackson scored 19 points for the Dukes (11-4, 1-1).
Swim Week Miami Beach 2014 [PHOTOS]