Entera written plea of Not Guilty. Also enter a written request to have the case set for trial. If you can get a judge rather than a magistrate do so. These forms should be available online from your state bar association. A better idea would be to hire a traffic ticket lawyer.
You can write not guilty, but that wouldn't assist the court very much. A TBD is good because it allows you to include hearsay, and two chances to have a trial. If the cop doesn't respond, you win. I agree that contacting a lawyer is better if you can. I suggest at least stating that you didn't commit the violation and if you aren't offering a defense then say as little as possible and admit nothing.
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You can, but you will likely lose. Hire a locally experienced criminal defense attorney to assist. Although they will likely charge you more than what the penalty for the ticket would be.
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I handle traffic matter in San Diego. Just writing not guilty will not get you a win if the officer replies. It would be best to speak with an attorney to see if you have a possible defense.