(Yesterday...)
I left an optimistic deposit at the LBS for a replacement drive belt for the Trek. Optimistic in that I doubt they'll be able to source one, and I won't see my money again.
Then again, they've another belt-drive Trek in their showroom, so I could just buy that, and a sprocket, chainring and chain to convert one or the other to the far-too-many-metal-moving-parts drive that seems to be so prevalent these days.