Cover the whole quilt, front and back with a thin fabric found in the wedding dress department, I think the name of it is voile and show it off. Even if you don't use it the quilt could be a show piece in a spare bedroom.
I used voile on an appliqued quilt after I had it done, then quilted the complete quilt. We called them shadow quilts back then. You could just run a line of hand stitching, don't have to be the finest stitches you ever made, between the organge peel motifs to hold the thin fabric in place. It would be a shame to dispose of it, the fabric will not be strong enough to make toys or pillows but it is a treasure. Be sure to make a label as to who made it and used it and when.
Carol J.