I was going to suggest a dab of fray check on the back. You do need to come up with a quilting design that is more continuous, but you will still probably have starts & stops. Another way is to pull the bobin thread to the top when you start or stop. leave long tails, then when you are done, pull the thread to the back, tie off, then bury the tails in the quilt using a needle. YOu can get a self threading needle or a spiral needle so you are not trying to thread it every time. It is tedious, but that's the way lots of folks handle this situation.