You can try but I would guess it'll be a tough hill to climb.

So you never asked the judge if you could record the trial.
You didn't make a motion to disqualify the judge from hearing your case based on judicial bias and based on what you heard.
I'm not sure how you could present statements made by the judge off the record, when those were not part of your trial.
Who do you think will review and must approve your statement of appeal? (the same judge).

By the way, there is no recorded or transcribed version of the trial that is kept by the court as far as the proceedings go. The clerk was right.

Point is, a judge may think the its a waste of time to hold a trial de novo for a losing TBD and yet when it comes down to it, that judge may hold a fair and impartial trial even though it is a "trial de novo". As for an appeal and unless you can point to a specific reason that shows any indication that the judge was biased against you during your trial, your appeal won't fly. Just my opinion.