Tug- The extra roller at the back of your anchor roller to tip the back up and move the center of gravity down a bit to initiate self-launch is a great solution that will probably work.
If the two forward/1 backward splice won't work, maybe the three backward/tapered will.
The problem is that every combination of anchor, anchor roller, and windlass is a unique combination of weight, center of gravity, roller geometry, and windlass gypsy and Fleming (pressure finger).
What works for one, may or may not work for another, and that can be frustrating (!) Some experimentation is always in order, as it a little hope for good luck!
We're rooting for ya'!
Joe. :teeth :thup