I would put an awning angling down to some posts to keep the wood out of the weather, probably wouldn't have to go that far out. By awning I mean a lean to with steel roof.
C'mon man use your imagination!
Sketch something out on paper if you have to. Plop some treated fence posts in the ground with 2bys around them at the top to form a framework for a roof of some sort just to keep the majority of rain and snow off the woodpile.
Personally I'd get the wood pile away from the building. You're inviting rodents and insects to live close to, if not inside your building.

