The agreement you signed in Idaho (provided it was done properly) is a contract. Since she has filed in NYS, I would suggest that you defend yourself in the NYS case. I don't of any NY attorneys that would take such a case on a contingency basis.
You can contact the bar association in the county where the divorce is filed. They may be able to provide you with a pro bono attorney or suggest something else.Ask a similar question
Sign up to receive a 10-part series of useful information and legal advice about the divorce process.