Pretty sure you pay your ticket at the courthouse, or Ministry of Transportation office.
You know in real life this plays out a lot less funny that it did in your head right? In real life you end up at the front of a line of people just as annoyed as you, you deal with a clerk who doesn't care how you pay and will have to count the money (if they accept it at all), as a consequence the people behind you will wait longer while this proceeds.
The clerk is paid by the hour, and doesn't care how long the transaction takes.
The other people will be the only ones who are punished, and I doubt they'll appreciate your humour.
Nice thinking outside the box'ish, but you're not breaking new ground here.