They have a clinic in NYC that you may want to contact.
Here is the main headquarter info:
220 Boush Street
Norfolk, Virginia 23510, USA
Phone: (757) 321-SMILE
Fax: (757) 321-3201
Also if you haven't already done it, call the NJ Dept Of Health, explain
your situation and ask if there is a special program for kids. For
example in Maryland it's called the Model Waiver Program.