I'm not sure which stove you have.
However, I think the best thing would be to build a shed over the whole thing. You arent' going to accomplish anything as far as i'm concerned to box the sides of it. If your wanting to further protect it from the weather, a roof over the whole area will be your best bet.
You can keep your wood in the dry and also stay out of the winter mess around the area while loading the stove.