Why don't you want to wash it?
I would do as Rob says - wash and hang out in the sun to dry and air out.
I once participated in a block exchange. One block came absolutely reeking of cigarette smoke, it was so bad the stench overwhelmed me when I opened my mailbox. Since it was a block, I didn't want to wash it, so I sprinkled baking soda on my front porch (which has sunny southern exposure), laid the block down, sprinkled more baking soda on top, and left it there all day. In the evening I picked it up and the smoke smell was gone.