Just curious. Are you not concerned about furthering creases via folding?
What I do, simply beacause I have the room, remove it from the mast, remove the battens and hang it until I feel good it is fully dry, wrap it back around the mast again without the battens, place it in the sail bag that covers the length of the mast and hang the mast on some padded wooden braces I added to my existing wooden, kayak wall rack in my garage. I very lightly bungee the battens to the covered mast/sail just so I don't lose them.
Believe it or not, my simple wooden rack now hold two sea kayaks, the Hobie Mast and two bicycles.
Edit: Actually not all three together. My kayaks get strapped up out of the ay via ceiling hooks this time of year, freeing up room to hang the bycles on it for the winter.