Drame finished with 12 points and 11 rebounds -- five offensive -- for the Bobcats (17-12, 10-8 Northeast Conference), who have two straight games. Garvey Young had 11 points.
Quinnipiac trailed 60-59 with 2:29 left in the second half when Velton Jones knocked down two free throws. But James, who went 4 of 8 from beyond the arc, put the Bobcats ahead by two points and for good on a 3-pointer.
Jones scored 29 points on 9 of 17 shooting but fouled out for the Colonials (22-9, 13-5), who had their six-game winning streak snapped. Russell Johnson scored 15 points and grabbed seven rebounds in the loss.
Quinnipiac outrebounded Robert Morris 39-28.