Elliot Croskey rushed for 141 yards and scored twice in the final quarter.
Crook, who threw for 191 yards, led the Great Danes (1-1, 1-0 CAA) to a 14-0 lead in the first quarter. Crook ran it in from the seven to start the scoring and then hit Josh Gontarek on an 8-yard scoring strike. Gontarek pulled in five passes for 51 yards and Brad Harris caught four for 55 yards.
Rhode Island (0-2, 0-1) had six turnovers - two interceptions and four fumbles. The Rams, trailing 21-0, drove to the Albany 7 early in the fourth quarter but John Forster pounced on a Paul Mroz fumble to stop that drive.