Peterson finished with 11 points and 10 rebounds for the Red Wolves (17-9, 11-6 Sun Belt Conference), who have won three straight games. Kendrick Dickerson had 14 points and six rebounds, and Cameron Golden had 12 points.
After Louisiana-Monroe scored the game's first two points, Arkansas State scored the next 16 points. The Red Wolves built on their lead, pushing the advantage to 24-3 when Finn knocked down a 3-pointer with 12:20 left in the first half.
The Warhawks (4-18, 3-13) were unable to recover, as Arkansas State continued to surge in the second half for the victory.
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point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.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.