I would think the way to make it work would be to use the wood heat as a primary heat source and the geo as a backup. The wood fire has to be kept going anyway, may as well use as much of it as possible and run the geo when necessary.

My opinion-forget the woodburner. If you have extra wood, sell it or give it away. Take the money you would spend on an outdoor burner and put it toward a geothermal system.