I would look into homeopathy, personally. There are some great eczema remedies. All dependent on the individual constitution/symptoms. It’s best to work with a good practitioner (a licensed classical homeopath, not a naturopath or anything), but if that’s not an option, if it’s an easy case you may be able to buy a book on homeopathy for families and figure out the right remedy. Homeopathic remedies are very cheap, like $5. Eczema is considered pretty easy to fix in homeopathy.