I just did a queen quilts binding by machine. I don't hand sew at all and I usually fold my backing fabric to the front for my binding but that was not working with this quilt, it was causing too much bulk. I sewed the front and back at the same time and I came out nice. I think you could use a straight stitch for this. I just made sure I had it pinned really good and that the front and back of the binding were even.