Instead of putting it in a binder, why don't you spiral bind it? It will be less obtrusive to your writing since you don't have to worry about the metal rings of the binder hindering you.
Agreed. I just did it myself, although I'm a little surprised that none of the places you went to would do it. I've read here that they're usually willing to. Where in NYC did you try? Maybe you can go somewhere just outside in the 'burbs?