Hampton (3-10) led 30-29 at halftime but used runs of 9-0 and 11-2 to build a 14 point lead, 61-47, with 4:20 to play.
The Dukes (7-8) responded with six straight points as part of a 14-2 run to cut the deficit to 63-61 with 2:04 left. Devon More led the way with eight points during that stretch.
Hampton quickly re-extended the lead to 67-61, and James Madison never pulled closer than three again.
Maxwell had 11 points and 10 rebounds.
James Madison shot 40.8 percent (30 of 49) from the field but connected on just 27.3 percent (6 of 22) from 3-point range. The Dukes did finish with 14 second-chance points -- Hampton didn't have any.
Rayshawn Goins led James Madison with 16 points.
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
|South Carolina State||12-4||1||19-15|
|North Carolina Central||7-9||6||13-19|
|North Carolina A&T||7-9||6||10-22|