Got a ticket when I was in town for shevuous. In the old days I would just plea bargain it and pay it, but since they stopped that program, I may as well get my five minutes of kicks out of writing reasons for it to be dismissed.
Here's the first idea that popped into my head, which I just submitted. I hope they don't read ddf.
Your letter is cute, drawing at straws, and pushing the limits and you want the judge to agree with its cuteness part. I would probably add a cute phrase/sentence/note of some type alluding to that so that the judge is agreeing with you rather than agreeing with the drawing at straws or pushing the limits aspect.
Writing your note in your lawyerese would make it even cuter. Maybe an idea like..."ok, Judge, are you ready for this?" or "Don't laugh, now, I'm serious" or "Your Honor, I really thought this out. Please humor me" etc. The idea is that you are aware that you are stretching it a bit and you are saying it before the judge says it. This way there's no point in his saying it to you and may take your letter in jokelike/cutelike fashion, as well, and enjoy the interaction as opposed to telling you off. Hatzlocho.