I took Bradley Birth classes in Roslyn. Technically Long Island but live in queens so it worked for me. If you are interested, I'm sure the instructor I have will know someone closer to you. Bradley instructors are a small and connected bunch.
Check out Birth Day Presence. Also ask at a yoga studio. If they offer prenatal classes they very likely have at the very least info on natural childbirth ed. The Prenatal Yoga Center on the UWS comes to mind.
I gave birth at Columbia Presbyterian (uptown) and while I was unable to have the completely natural birth I'd planned for due to complications, my doula was phenomenal every step of the way and the tools I learned from Andria were invaluable.
Re: Natural Childbirth Ed in NY
I highly recommend the following (gave birth on 2/13):
Doula: Renee Pizutto (reneejpizzuto@gmail.com).
Hypnobirthing Therapist: Andria Klarer (Andriaclarity@yahoo.com)
I gave birth at Columbia Presbyterian (uptown) and while I was unable to have the completely natural birth I'd planned for due to complications, my doula was phenomenal every step of the way and the tools I learned from Andria were invaluable.
If you have any questions, feel free to pm me.
Good luck!