The nursing home I visit puts the N 95 masks in a paper bag to be reused when you next visit. Also, my late spouse's Oncologist's office made up a set of 5 masks for each of their employees when masks were in short supply. They labeled each paper bag with the employee's name and day of the week. They said they were following the CDC recommendations on how to safely re-use masks. They needed to rest for 7 days. Of course, that was early in the year. We know more now than we did then. I don't know if the COVID virus can multiply or live in a plastic bag, but I would use paper if possible.
However, finding a paper bag large enough for a quilt might be a challenge. Maybe you could just wrap it up with some sort of wrapping paper for it's "quarantine time".
bkay