Cameron Harvey contributed 22 points on 8-of-9 shooting, including 6 of 6 from 3-point range, for Stetson. The Hatters made 35 of 65 (54 percent) field goals and Pegg finished 10 for 12 from the field.
Grant Lozoya made a 3-pointer midway through the first half to give Stetson a 32-8 advantage.
Stetson (2-2) went into halftime with a 51-34 lead and Pegg's 10 second-half points helped Stetson pull ahead by 22 with 5:48 left.
The Sailfish finished on a 20-9 run, but it was not enough to bridge the gap.