F=k (x2-x1). x1 is the deflection of the spring before drawing the bow and x2 is the deflection after. Think of this as a cycle.
1) Hang the bow from the spring. Read the poundage
2) Pull the bow down to draw length. Read the poundage
Draw weight is the difference between these two measurements since that is based upon the spring deflection caused by drawing the bow only. If my reasoning is correct then you would have to subtract the bow's mass when using your particular setup. A good way to check would be to mount the scale to the floor and draw up to see if you get the same answer or an answer that differs by the bows mass.
Of course, if your scale reads zero with the bow hanging from it then you can read the weight right off the scale.
Or......
Since you are holding the bow, you, rather than the scale, is supporting the bow's mass. In this case, you would not have to subtract the bow's mass.
I think you better do the experiment I outlined above. Otherwise, this could turn into a protracted discussion with no definitive answer. It confuses me and I have a PhD in Chemical PHYSICS. (Of course after this answer USC will probably ask for it back.)