Don't go through the crunchy early wood all the way, expose it and use a scraper to take it off. It sounds like you are being too aggressive with your drawknife. Pull your blade sideways in a slicing motion like you are trying to slice the top off a tomato, blade bevel down of course. Few of us chase a grain with the bevel up. As was mentioned if you have splintering you need to cut from the other direction.
I have spent up to 8 hours chasing a ring on a problematical tight ring stave with pins, go slow.