I have considered doing a large quilt in sections. I would stay stitch the edges of my quarters around the edges just outside the seam allowances so the edges don't stretch while I quilt. Keep the edges unquilted about 2 inches so I could join the quarters. I would find a seamless way to join the batting when putting the quarters back together, maybe batting tape. I would then hand invisible stitch the backing fabric seams together and then finish the quilting in the join areas. Good luck and let us know how it goes.