I have used fleece a few times. Never put binding on it. That fleece is tougher than any binding. Just pull it around to the front and hem it down. When I was a kid we did this all the time on quilts. We always called it hemming. Did not learn about binding until after I retired and started taking classes. Some people call it self binding.
I have a cotton quilt right now that is about 10 years old that has cotton binding and it is totally ragged and needs to be replaced. The fleece quilts I have, there is no wear and tear on the edges since I hemmed them.
Hope this helps. Would love to see pics of your quilts.