You could make the binding wider, like 3 inches, don't press in half but do fold in half, and sew on the back of the quilt, then flip to top and use one of the pretty stitches to stitch it down. The reason why I said wider, this way you get past the seam on the back and you won't be sewing on and off of it which does not look nice. Your stitches on top will appear on the backing. Choose a busy print and it won't be so noticeable. But, pulling the binding to the top, you will see exactly where the seam is on the backside and make sure you pull it enough over that you will be past that.
Someone else posted about not pressing the binding because the crease needs to be flexible.
A lot of times I like to make a wide backing especially when using fleece, flannel or minkee, and pull the backing to the top of the quilt and hem it down. There are several ways to decrease the bulk on the corners. You can google it if interested.