Without commenting on the type of joint to use, I must first warn you against the use of wood for a cover. It will always be subject to moisture. That's why the ones you can buy are made of plastic. Wood can be protected by finishes, but will always require maintenance to keep it from warping, twisting, etc. There is only one wood material that I would recommend. It is called MDO, (Medium Density Overlay). It is a plywood that has been impreginated with a plastic resin. It is the material of choice for signs used on highways. It doesn't absorb moisture and remains stable. Being a plywood, you would have to paint it or apply a plastic laminate. It comes in normal plywood thicknesses and takes some effort to locate. Sign shops usually have it and can order it for you. Sorry I can't be more help.