Nieves was 5-of-11 shooting, including 3 of 6 from 3-point range, while Baker was 6-of-13 shooting and 5 of 10 from deep. LeAntwan Luckett added 14 points.
The Braves (5-14, 3-1) made 51.8 percent (29 of 56) of their shots, including 10 of 21 from 3-point range. Alcorn State has won consecutive games for the first time this year.
Terry Rose paced Grambling State (0-13, 0-4) with 19 points. The Tigers shot just 28.8 percent (17 of 59), including 22.6 percent (7 of 31) in the first half.
Grambling State went 0 for 7 from 3-point range before halftime, when it trailed 38-15, but hit 5 of 7 after the break. Rose hit four of those treys in six attempts.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.