Is it just lamb's wool that you don't want? What about goat, llama, alpaca, or angora rabbit? Or sheared dog hair/fur? Or gathered cat hair? Or human hair?

If it's going to be bunchy, scrap cotton could work. Natural cotton batting is hard to find though, ime.
I guess I'm not much help...

Feathers? They can be hand-washed. Is hand-washing an option? Of course if hand-washing isn't, then none of my other stellar suggestions will work either. I don't know if buckwheat hulls can be washed, but they are available if you could use those. What about natural organic cotton balls?
Okay, now I'm getting crazy.
