Don't let the fear of what others might think put you off.
I can't claim to know anything about Spinocerebellar ataxia, but as long as your doctor wouldn't object to it, then I say you have nothing to fear. Get out an play before you get too old, or something worse comes along. Things can always be worse.
Only you know your physical limits. If you think it might be a cause for concern, I'd say let the ref at the field, and people around you know, so they don't mistake your symptoms for something more serious.
*Busy signing for his packages*