3 year old with itchy skin

My 3 year old as multiple food allergies and outdoor allergies, however, we are finding the outdoor mold allergy to be a major concern. Dog dander is also a problem. We have a hypoallergenic dog (maltese)and she reacts when she plays anywhere the dog was. She has had reactions to friend's homes with dogs in it as well. She will break out in a rash around her mouth and neck and then it may move down to her limbs. These rashes are extremely itchy and she will scratch to the point of deep sores that are bleeding if we are not monitoring her. Her allergies started with an egg allergy, after she got the flu shot, at one year and they have continued to get worse every year since, with this past spring/summer being the worst. We do not use anything harmful to her, such as steriods. I try to keep everything as natural as possible and have eliminated most foods I think can set her off (egg, soy, gluten, wheat, corn) and we limit time outside. We eat mostly organic foods. Please help us. She has done better since we got a vacuum with a HEPA filter and are looking at getting wood floors put in our first floor. Any recommendations for homeopathic medicine you can recommend?