When I used to work for park crew we always used salt in the spring and it kept the snow in good shape (and that was in PA spring conditions, where it never gets close to freezing and we dont have much snow). I guess salt melts a thin top layer of the snow but the cold snow below it refreezes it so it becomes hard. The only problem with this is you have to give it a few minutes to settle, but then you will have to rake it a whole lot less.
You guys could test it out on the snow from the UBC ice rink and see what you think. It could definitely be worth it.