Bradley, who had just six points in the first half, hit 3 of 6 from beyond the arc and grabbed eight rebounds in 26 minutes of play.
The Redhawks held a slim 13-10 lead midway of the first half. Jamaal Calvin's 3 started a 17-4 run and Southeast Missouri State led 39-20 at the break. The Redhawks stretched that to 65-34 with 10:06 remaining.
Aaron Adeoye scored 12 points, Calvin added 11, Josh Langford had 10 and Nino Johnson grabbed 10 rebounds for Southeast Missouri State (3-3).
Ladarius Tabb had 16 points and Tyler Davis contributed 10 for Alabama A&M (1-4).
The Redhawks made 25 of 59 field goal attempts (42.4 percent), while limiting the Bulldogs to 15-of-48 shooting (31.3 percent).