First, I'm going to harvest some in a jar in case I screw up the drying process. As far as drying goes, I'm going to split the remaining yeasties into 4 experiments.
1: Make a kveikstokk (piece of wood with holes drilled in it), boil it to sanitize, and slather some yeasties on there. Hang to air dry. Knock off flakes and toss em in some wort a few hours before the next batch.
2: Spread yeast on a piece of freshly ironed linen, squeeze the beer out, let air dry. Store in a centrifuge tube.
3: Spread the yeast on a sheet of baking parchment that's been sprayed with starsan and toss it in the oven at 30-35C. Store in a centrifuge tube.
4: Mix the yeast with baking flour into a dough-like substance, let air dry, and store in tupperware that's been sanitized.
I found all these methods, along with instructions for the traditional ring that I don't have the tools to build, on a couple different blogs.