@hampartsum
I have stored tubers in wood shavings, but I have fewer dried out tubers using saran wrap. I would put wood chips and tubers in a plastic shopping bag and leave the bag partially open. If I sealed the bag completely, I had more tubers rot. Leaving the bag partially open allowed some moisture to escape, but not totally drying out the tubers.
When I divide dahlia clumps, I try to save the best 3 or 4 tubers. Sometimes, if the tubers look really good, I can't resist saving more. If I get 2 or 3 good tubers from a clump, I am happy.
Last year I saved around 300 tubers (66 varieties). A few years ago I had over 300 varieties and stored over 1200 tubers. This turned out to be too much work. So I have trimmed down. At any rate, this past year my sprouting rate was over 95%. I do not plant any budless tubers.
Small tubers are the hardest to save/store. If they make it through the winter, I usually pot them and put them in the greenhouse before planting in the garden. I only had two such tubers in the greenhouse this year and they both survived just fine in the garden.
When I first started using the plastic wrap method of storing dahlias, I stored half of my tubers in wood chips and the other half in saran wrap. After that, no more wood, just pure plastic.
