My 85 year old marina neighbor has this problem and has developed a clever solution. He has to back out and turn to starboard in the fairway. The answer is a spring line from the port side doc to the stern cleat on the port side of the boat. The boat backs straight back and when it's clear of the dock finger the springline which is carefully premeasured becomes tight and yanks the stern to port (and the bow to starboard) as he continues backing. They have this spring line around the dock pile and secured back on their boat. When they release it, they haul it on board and off they go.
Rick in Florida