I'm confused. If you "beat" the ticket, why are you slogging this further. If you found the officer made a error of fact, you can certainly introduce evidence to the contrary. If that invalidates the state's case, then you can prevail. Just because an officer makes an error doesn't make him incompetent.

Your TBD won't tell you anything other than guilty bail forfeited or not guilty, the check is in the mail.

You make discovery by sending a request to the agency (the police) that has the information you are after.

You don't need a transcript to appeal by the way. You're unlikley to have a transcript directly available. You can go to the court and ask for and pay for a copy of the recordings made (do it quickly, they're under no obligation to retain these very long).