For me, it also depends on the " intent" of the quilt. If it would be a more "show" piece, I would definitely do a regular binding where I would sew the binding onto the front, then when wrapping around the front I would hand sew it into place. Honestly, it's how I do most of my quilts. It definitely takes longer, but I can do a " ladder stitch or invisible stitch" to hide the thread. I love sitting in my chair, tea on the side, tv remote and cuddling under the blanket while sewing on the binding. It's theraputic for me. And yes, you can machine sew both sides, I prefer the finished look of it when it's hand sewn on.
Also a little other thing I do, is a put a little label in the corner with the date, pattern name and a little prayer or saying on it. I love to personalize it - and I also journal and document each quilt I do in a little notebook - just for my reference. Noting pattern changes if needed, how the pattern worked etc etc etc.