I would advise doing the quilting in columns down the quilt. I would stitch along the patchwork edge in an serpentine manner in and out of the vertical line of the rings. Start your stitching in the centre row and gradually move out to the edge stitching down the other vertical rows. Once one half was done to the edge, rotate the quilt and start stitching the other vertical rows side outward to the edge. After all the vertical rows are done, do the horizontal rows in the same manner. Good Luck!