Whats the story behind Backwoods?
Most people have some sort of backstory to their name, something personal or an inside joke, others is just the name of the street they live on... for some its a play on their last name.
Mine is Bald Dog Brew, after the mexican hairless breed of dog.
Also, realistically, it doesnt matter if its taken - you are not going to be selling this, it will never be a real company. For most people the name is just a fun thing to add, like labeling your brews, and it adds a personal touch when distributing the brew amongst friends.