I have found the technique of drawing the bow described in this video to be the easiest on my shoulders:
BEST archery system The key component seems to be the downward pull utilizing the back muscles more than the shoulder muscles. However, the other parts to the technique shouldn't be overlooked:
1. First extending the bow arm and then raising both arms at the same time using only the arm muscles.
2. If #1 is done correctly, the bow will end up in the predraw position a little further away from the body than I'm used to, enabling you to correctly execute the rotational draw.
3. At the completion of the draw, the drawing hand ends up low and is then raised to the anchor position. Of course, in the video this is the Olympic anchor, but it works just as well with the side of face anchor we commonly use with trad bows.
The purpose of this draw is to end up in a good shooting position with shoulders down and back muscles engaged. A happy byproduct seems to be a draw that is easier on the shoulders, at least that has been my experience in the month or so that I have been using it.