woolies flannel is like any other flannel and it will fray so you will have to finish the edge in some way by either turning it under or encasing it in a satin stitch with your machine. As you don't like fusible stabilizer then your choices are needle turn or prepared applique cutting out your pieces with an added seam allowance to turn under or satin stitch. Or you could try using a lightweight fusible like mistyfuse and do a buttonhole stitch like you would with wool. But I don't have enough experience with Mistyfuse to tell you if that would keep the product from fraying.