When shooting using your natural wobble area, always remember to fire going into the target, not going away.
Seems pretty simple and you may already be aware of the technique, but surprisingly enough some folks are unaware.
The general thought of trying to freeze your motion or hold dead on when you are wobbling only leads to more error in my experience. For me, the more I concentrate on controlling the wobble, the more pronounced it becomes, and I lose focus on breath control and follow through.
Practice the position and adjust to see what gives you the smallest wobble area.
Try to avoid GRABBING the trigger to fire when you use the technique, stage the trigger so that you can feel the sear and then apply your slow deliberate squeeze when you are going into the target on your swing. Practice and timing will get you there.