You can’t appeal but you can get the s59 removed, it isn’t easy but if it was done without reasonably grounds for believing that you were driving carelessly AND likely to cause distress or annoyance to other people then it was issued in error and can be removed.
I think the first steps are writing to someone higher up in the police department that gave you the ticket and the last step is issuing proceedings in judicial review to ensure that the police force has exercised their public powers correctly.
If you are going to write to the head of the police you should include in your response the word “ultra vires”, to put it into context you would try to include a sentence that reads something like:
“I do not believe that the issuing of the s59 notice was in accordance with the rules governing their issuance and that therefore the s59 notice was issued ultra vires.”
I would offer to help you, but to be completely honest, I am snowed under at the moment keeping up with the things I have on my plate, and just been told that I will lose my entire work day tomorrow as I have been reminded of a commitment I would like to keep.