Good ideas - I actually do work at a museum (though usually with paper materials and not textiles) and we store full quilts on archival "cardboard" rolls, which prevents problems from folding, and then they are wrapped in archival tissue (great, but prohibitively expensive for the average person). Smaller fabrics are stored in archival boxes with archival tissue. I'd love to get archival boxes but seeing as a single one can run over $35 I just can't afford to. I will look into the sheeting with archival tissue.
Working in a museum is great because I know how I should ideally store things - but I can't afford to do so!
This thread is providing some good "mid-way" options.
Edit to add: when things are folded in a box, we often add archival tissue into the crease to prevent it from being so sharp. That in turn with re-folding regularly will help prevent fading and permanent crease lines.