The ornamental design for a compressorstabilizingtray, as shown and described.
FIG. 1 is a front view of a compressor stabilizing tray showing the new design, a rear view of the compressor stabilizing tray is identical with the view;
FIG. 2 is a left side view of the compressor stabilizing tray, a right side view of the compressor stabilizing tray is identical with the left side view; and,
FIG. 3 is a top view of the compressor stabilizing tray.