That's part of the reason I got a four-blade feathering prop that can have different pitches in forward and reverse. Basically, I want to back into the slip under raw power like a mini-van, and I have seen a boat with a similar keel to mine do exactly that in slips using a three-bladed AutoProp.
With a fixed prop, basically I coast in neutral and just give a little shot of reverse with the rudder hard over, sending a "squirt" of thrust to move the stern in, rather than to stop the boat. That is the job of the spring
line.