Quoted from mbaumle:How about something like this:
https://www.menards.com/main/outdoors/patio-furniture/patio-umbrellas-bases/guidesman-reg-universal-clamp-on-umbrella-assorted-colors/vers-br10-12/p-1536733821123.htm
You can clamp it onto a music stand or even the game itself.
This should be about the right size, I've got one, I can check tonight.
Edit: Close, but probably not big enough.
20220309_154420 (resized).jpg