So - this is how I might do it - start with a square of one solid color for your petal and and two squares the same size as your petal for the "background" fabric. Fold and press the two background fabrics on the diagonal and place both on top of your petal fabric (folds touching and covering it completely). Pin in place. You could assemble the rows first then sew back the flaps to show your petals or sew open the flaps first then sew them tog. Using this method the squares would be assembled on point
One other option is to use the EQ template. Several gals I know have made these orange peels with dryer sheets on the back. Sew on the shape stitching line right side towards the dryer sheet, make a small slit in the middle of the dryer sheet - turn and press - then applique.
Good luck - looks like a really cute quilt!!