Can I just clarify; how your bow arm shoulder is shrugging up... does the shoulder come up under your chin almost?
If that is what you are doing, it is a common mistake made by lots of archers... many don't even know they are doing it.
When you raise your arms, to lift the bow up before you draw, it is a good idea to raise both hands and the draw elbow up to eye level.
That puts the bow hand higher than the bow shoulder. At that stage in the shot process, it is easy for the bow shoulder to have shrugged up a little already, and not realise. A good check is to fully shrug the shoulder before drawing and then deliberately drop it so you feel it is as low as it will go. Now you can start the draw. If you use a heavy draw weight bow there is a danger that the shoulder will creep up as you draw, and that is hard to prevent.
If you have access to a very light draw weight bow, use that to get used to keeping the shoulder down throughout the draw.
If not. get some stretch cord and make a stretchy string for your normal bow. Use that, which feels easy to pull, to get used to drawing while making sure the shoulder stays down throughout the draw. As you get better, you can use the stretchy string alongside the proper string. Fit the normal string to the bow first. then fit the stretchy one over it. At nocking point height, connect the normal string to the stretchy string with some string about 30cm long. Now, when you draw the stretchy string, as you approach full draw, the normal string will start to pull as well, adding some weight to the draw.
As you improve, the connecting string can be shortened gradually, adding more tension until you can manage with just the normal draw weight on the proper string alone.