First, I am a retired lawyer who was admitted to practice in NJ but now reside in Florida. However, I did not practice this kind of law except when I was assigned a case by a court for an indigent person.
I have seen many instances in which a lawyer has pleaded down a case with the prosecutor or police officer with the result that an individual's insurance did not have an adverse impact. Here in Florida some lawyers do this type of work full-time and they manage to work something out where you are not found guilty and there is no public record of the infraction. This is important because if a police officer stops you in the future and sees such infractions he or she is less likely to give you a warning.
In any event, why not look for a lawyer who handles these type of cases and get a free consult?
And also, you can negogiate the lawyer's fee. Don't be afraid of a huge estimate given by the lawyer.