I have a pantry cabinet in my kitchen without pull-out shelves. I use low sided plastic tubs the depth of the shelves to store my food items in. I can then just pull out the tub, see what is in the tub and remove what I am looking for. You could do the same thing with your fabric. Fold The fabric to fit the tub. Organize by color and size. Label the bins. Just pull out the bin, pick out what you need and push the tube back in. If the tubs are not too heavy, you could use all your shelves. The tubs could hold anything you want them to hold. Fabric, thread, patterns, etc.