How much is the effing ticket? Honestly, if it were me I would just pay the damn thing. it would be a complete waste of my time, which of course equals money.
When I was younger, someone gave me this advice. And I made the mistake of taking it.
This is a moving violation. It will add points to your license which will increase your insurance costs. The points may come off in 18 months, but you insurance will not go back down.
I would not do it.