I would do it that way. After sewing to the back, I find it helpful to secure the binding to the front with tiny drops of Elmer's white glue and my iron -- "glue pinning". If I do it and it's not straight, it's easy to lift up the binding and re-glue into the correct position. Afterwards, at the sewing machine, I do not have to worry about removing pins, and the glue keeps the binding more stable for me than pins.
If your machine has a feather stitch (or other decorative stitch) that does *not* have a stitch running through the middle, that is the easiest to use on the front because any slight deviations while you sew are not obvious on the back. The problem with a straight stitch, or a decorative stitch that has stitches through the center, is that any slight deviations in sewing will be obvious on the back.