Lina, I think you could adapt a lot from the
solar dehydrator plans, there was special effort (since drying food) for it to be free of toxic gick.
As far as sealing, using boards with "shiplap" or "tongue and groove" edges would be better than plain boards, and except for excluding rain, I don't think perfect sealing is imperative (it may just cut into the efficiency a bit).
I think folks jump to pressure treated lumber for durability/longevity for moisture and ground contact, but really a kiln is a temporary sort of structure (not like a house) and could be built on replaceable skids (like the dehydrator) and following good practice such as elevating it off the ground (on stone or
concrete blocks) overhanging roof (to shed
water away).
The same goes for rubber. I've seen a design with a curtain hung over the
wood to create the airflow through the stack of lumber, seems as if this is where you are seeing rubber used? Maybe canvas would work? old wool rugs? or an adjustable wall made of boards stacked on edge between channels on the walls?
Insulation? maybe to
boost cold weather performance? could be overcome by having more
solar collecting area than just the kiln area?