I have used the Alderney ring method for the last 20 years, and have pulled out nearly every time. With a bit of practice you can judge the angle of boat to anchor rope, and never take your eye off it. When you apply a controlled amount of throttle the stern will pull towards the rope and its a matter of steering into the rope to swing the stern away. Then give it a little bit more speed and it should keep well to the side of your boat.
If you think the rope is too far under the stern just give it a light touch of reverse, and steer the transom away from rope and try again.
Keep motoring up wind and you will feel/see the buoy bounce up. Then drift back to buoy and gather up loose rope.
An odd time the chain can bunch up and knot which can be a pain.
We sometimes fish in the mid channel in 300-350 ft. which means 1000ft of rope.
Try it in shallow water to get a bit of practice.
As yet i have not managed to fowl the prop.