Brown, whose previous best was three treys, had four for 12 points, and Justin Gant had all 10 of his points in the first half as the Sycamores (10-10, 6-2 Missouri Valley) shot 63.6 percent to open a 38-25 lead.
Tre' Bennett came off the bench to add 13 for Indiana State, which finished at 53.3 percent from the field, including 12 of 23 behind the arc. Brown was 8 of 11 from the field.
Montel James led the Ramblers (13-7, 3-5) with 18 points.
Although the rebounding was even, the Ramblers had 13 offensive boards for a 16-5 advantage on second-chance points.