Having realized my old brayer was unsalvageable (don’t be like me, kids. Clean your brayer after each use), and having a deadline to meet, I found a solid wood rolling pin at Daiso, wrapped it in clear packing tape, and ran an inking test.

Somewhat uneven at the edges, but not gloppy in the details of the stone or body. This was a quick, late-night test; with some sleep and better-organized setup, this workaround should do the job sufficiently for the actual print (the giraffe, seen in the lower right, below).