2. Applique. I found this way to be MUCH easier and less frustrating. I made a heat-resistant template, painted the seam allowances of the top and bottom (aka convex) curves of the patches with starch, and pressed them. Then I laid them on top of the seam allowance of the concave edges of the patches and stitched. You can use a blanket stitch or do a straight top stitch.
I would not have thought of this. I haven't done an apple core quilt because I was concerned out sewing the rows together. This solves that!