My son had severe eczema and this is what the hospital for sick children told us to do:
bath every day with oilatum in the water. (Oil for dry skin)
apply glaxal base lotion after the bath/shower and again throughout the day. (In the winter use Vaseline instead to lock in the moisture)
use a humidifier in the room at night.
keep the house 19 degrees C or 66 degrees F. Wear cotton clothes. They told us that if our son got too hot it would feel like bugs crawling all over his skin.
he also had it on his scalp and we were told to shampoo every day. He did have a prescription but we used it sparingly. Although I know that wont help you since it has cortisone in it.
We just saw the specialist last week and his skin has now cleared up. Not sure if it will work but its worth a shot! Hope you get some relief!