1. 申請probation
2. 申請NOT guilty
If I were you, I would choose option 1, 申請probation so the ticket will not on your record, no points, and not impacting your insurance premium. Just be sure to be a good driver(no more tickets) during the probation period(you need to check w/ county court clerk how long the probation period is).
Option 2(申請NOT guilty) would be tough to fight against the police at the court.