The ornamental design for an archerybowstabilizer, as shown and described.
FIG. 1 is a perspective view of my new stabilizer design fitted to an archery bow. The partial view of the bow, archer's hand, and arrow shown in broken lines are for illustrative purposes only, and form no part of the claimed design;
FIG. 2 is a perspective view of the opposite side of the stabilizer of FIG. 1;
FIG. 3 is a top view of the stabilizer;
FIG. 4 is an end view of the stabilizer;
FIG. 5 is a side elevation of the stabilizer;
FIG. 6 is an end view of the stabilizer opposite FIG. 4;
FIG. 7 is a bottom view of the stabilizer; and,
FIG. 8 is a side elevation of the stabilizer opposite FIG. 5.