I am appealing a ticket for speeding in a school zone. I am willing to serve time than pay an unfair fine. Is this an option?

You've heard the adage "ignorance of the law is no excuse?"  It's true.  The fact that you didn't know what the law was is not a legal defense to your ticket, so I don't think you will win your appeal.  If you refuse to pay the fine, I assume that the Court will eventuallly order you jailed for contempt of court, where you probably will stay until you pay the fine, with interest.  Even after you get out, your incarceration may have to be explained to prospective employers, loan officers, etc.  It's not going to help your prospects.  Seems kind of silly to me, but it's your life.