Actually played against Medaille this year in college. That stadium would be a bad choice I'm thinking. Its extremely out of the way and very run down. Covered seating on only one side and the field has so many random lines on it. The best college in the area to host a game like that would be SUNY Cortland, and even that would be a bad idea.
Did you really mean Cortland? It's about 4 hours from NYC. Binghamton's soccer stadium is nicer, and it's closer, only 3 hours away lol.