Like some of the others, I'd do a damp towel thrown in with a low heat/air fluff.
For precious heirloom quilts the advice is to refold them at least every 3 months. That is, refolding them in a different way each time. So maybe once you fold it in thirds first, then the next time in half. Start at the long ends one time, the short ends the next etc.
I have a number of quilts in storage, my keeping of them is not the best but then they each get taken out of storage at least once a year and used. Basically I have them folded in thirds and then rolled loosely like a sleeping bag, and they fit on the upper shelf of the closet.