Nick, That's probably close to the interior color used on the AD series trucks. Jim Carter has
THIS, or also the AD interior color
(link) that I think is too dark (I got some lightened up for my truck.) It's a semi-gloss slight metallic brown. Since you have to buy a quart, it gets kind of expensive. I have about a pint left over that you could try. Shoot me a PM.
Another option is to take that piece to a paint store and get them to match the spots that are still in good shape.
