LDN is potentially a great therapeutic approach to many serious and chronic diseases, however, it does not work for all and it does not correct significant fundamental imbalances.
Look into underlying factors : inflammatory processes like TNFa (re: eczema and psoriasis), or JNK gene activation (signals initiation of serious disease processes), HLA inherited A/I predisposition (Grave's), underlying (and undetected) pathogenic infections such as pathogenic Mycoplasma, Babesia, Bartonella, Borellia, Ehrlichia, as well as nutritional/mineral deficiencies (tissue minerals)
Another area to explore is chronic stress (which is usually not explored), including hidden stress, which leads to adrenal fatigue and adrenal exhaustion, normally linked to low thyroid function but also (less frequently) linked to hyperthyroid function.
You may want to consider doing an adrenal fatigue questionnaire, which I would be very happy to send you on a pm, if interested.
Have you done any allergy type of testing or food elimination diets, or perhaps seen a NAET trained doctor (energy medicine based therapy)?
Most reactive food groups are grains (wheat and gluten are the main culprits) and dairy.
May I asked you details of the Grave's disease diagnosis?