Well I think your title of this thread is spot on. Some sort of odorless glue. But I would still be weary of how truly odorless it is. You could maybe get some very short stainless steel screws and drill into sidewall, but then you would need to plug the holes of you ever took them out. One idea that just popped in my head is that you could take the sheets and some small pieces of Spanish cedar and make a sleeve that fits into the wineador.