I do not display stash if I can help it. It ends up dusty, full of cat fur and potentially damaged by light. Everything is kept in either these acid free cardboard 'half' boxes my Mom got or in plastic bins, away from sunlight.
How you use your fabric really helps to determine how you should store it. Some people need to look at all their fabric to make design decisions.
I have a lot of novelty or focus fabric, so I choose the novelty and then work from there. I then look in the 'background' box and/or the color box that best works with the focus fabric for large pieces. Then I go to the boxes full of fat quarters for filler.
I love how you have your fabric, but my stash is so much bigger than that.