Stirling engine powered hurdy-gurdy

I recently built (from a kit; see link 1) a model Stirling engine. It's very pretty and whizzes around with much gusto, but doesn't do anything productive. It has a pulley so it could be used to power a dynamo or such, but basically it's a toy.

I also recently found a video tape of my 40th birthday party (all those years ago) which featured (if that's the right word) a guy playing a hurdy-gurdy. (See links 2 to 4 if the item is unfamiliar.) The limiting factor in hurdy music is that you only have one free hand to play a melody because the other one's winding the handle. (According to David Munroe, the hurdy was originally intended to be played by two people, one winding and the other keying, but this is rarely done now.)

It's entirely possible to use an electric motor to power it but for the sake of combining two fairly pointless technologies I propose the use of a toy Stirling engine to operate the wheel of a hurdy-gurdy.