So I found a copy of the letter that I wrote and it was just addressed to “Your Honor” and I physically dropped off the letter at the court in person to the front desk.
I left my mailing address and I got back a return letter in the mail a few weeks later or something.
I have no idea what you can do it for but it worked for my problem at least.
I believe you can generally get items to a judge like that, but do not do it with evidence (at least not in a proper trial). Things have to be entered into evidence, provided to the prosecution, etc.
Things like this are totally worth a try, though. The legal system can be much more flexible than it seems, and the humans underneath it are generally kind of occasionally overworked and frustrated.
I got out of a huge "parking in a handicapped spot" ticket when I was like 16. I was running late to school, the only parking space available was next to the handicapped spot. I thought I was just barely outside the space, turns out I was just barely inside (~3-4").
I just took pictures and went down to the courthouse. I told them what happened, that I didn't intend to deprive anyone of their handicap space and that I know they need them, and that even though I know I accidentally screwed up, the space should have still been usable. I asked if they could cut me a little slack, and they did. I got a little admonition about being more careful, which was eminently fair, and they dismissed the ticket.
I left my mailing address and I got back a return letter in the mail a few weeks later or something.
I have no idea what you can do it for but it worked for my problem at least.