Once you start to read about the possibilities of homeopathy and its enormous scope in treatment, you feel as if it is the absolute answer to everything that you may encounter with your dog. Don't succumb to this temptation. It takes many years to become proficient at using homeopathy properly. The ideal is to find a veterinarian trained in both traditional, as well as homeopathic medicine.
Be sensible, and get the blood and other diagnostic tests done. There may be something going on you have missed that a good diagnostic work-up will reveal. There is no substitute for a hands-on diagnostic work-up.