I believe you have answered your own question. The stabilizer. The stabilizer must be matched to the bow and YOUR shooting style. Many of today's stabilizers emphasize vibration dampening and reduced shock. The purpose of the stabilizer is to stabilize and balance your bow. Drop by a reputable pro shop and try a few different stabilizers that mount solidly to the bow. I suggest one that is in the 10" to 12" range to move the mass weight from the riser to the tip of the stabilizer. Hold your bow arm out as if you were going to draw, but don't touch the string. The top should balance or drop slowly forward. If is should drop back toward you, add weight to the tip of the stabilizer. The results will be a very steady bow hand and sight picture.