I think any wood that was non-aromatic or does not have an odor would be fine. I'm not sure if birch or oak have any odor or not, both are common and pretty inexpensive. Taking it to a cabinet shop is a good idea, but who knows how much money they will want to do it. I've seen 1/4" thick planks of spanish cedar for sale on ebay that could be ripped down to the size you need. Sorry, I may not be any real help, just throwing out some ideas. I'd love to give it a shot but won't be heading to knoxville until football season. If you post the dimensions of the lid, maybe someone on here could fabricate the pieces for you and all you would have to do is glue them to the lid.