I don't have that many - maybe 18 or so - but I use a round belt hanger and hang them on a hook on the back of the door. The hanger is designed to be used on a rod in a clothes closet. Still takes some sifting through to decide what I want to use but I can grab a chunk at a time and take them off/put them back on. Took some time to find it initially but I've seen them at Walmart and the bedding stores. About $10.