Dimencio Vaughn's 3-pointer cut Rider's deficit to one, 67-66, with 6.1 seconds left but Crawford took a long pass following the inbounds and was all alone to slam home the final points.
Isaiah Washington had 17 points for Iona (3-7, 1-2 Metro Atlantic Athletic Conference), which ended its five-game losing streak. Asante Gist added 17 points. Tajuan Agee had 12 rebounds and six assists for the visitors.
Tied at the half, the Gaels' 42 points in the second half were a season high for the team.
Iona takes on Niagara at home on Sunday. Rider plays Marist on the road on Sunday.