Hi Aristcrater, waited a day in case somebody knew of a current easy answer to your question, logos have always been a bit problematic especially that old.
You may want to look for an actual silkscreen shop, like the kind that makes printed tee shirts and other "schwag" with logos, to see if they could make an actual screen for you. I'm thinking if the logo's still there but just dinged up they should be able to replicate it by tracing or digital photo and transfer to paper for same purpose.
A plain stencil may even do the trick, unless it's one of those old "script" logos that might be real hard to cut.
Hope that opens up possibilities for you!