Not sure about New Jersey or New York area, here most traffic lawyer charges $400-$500, most will say the ticket will be dismissed due to "technicallity" ( and they are always "technicality" however small).

Maybe too late for you now but next time get a lawyer. I know for fact, lawyer can ask when the radar was calibrated etc and we, mere mortal" can't (or the judge would throw a book on you if you did).