I'm not saying this could solve your problems, but when my DD had really bad eczema and the doctors were just prescribing steriods and cream after cream and bandaging her up. I heard from another mum that cutting dairy out might help. It had cured her daughter.
So for 2 weeks I had to COMPLETELY cut out everything dairy - not easy.
Then I was gradually reintroducing it to see the effect.
After 2 weeks the difference was amazing. It turned out that she could eat cows cheese, but cows milk would bring her up within 24 hours scratching again.
So goats milk it was for about 6 months, but she could eat yogurt, cheese, butter. Don't ask why, but there is something in the milk that isn't in the other products, even though they are made from cows milk.
Then one day tried her on cows milk again and no reaction this time. 2 years later and she only has very mild eczema now, no creams or anything.
We're putting it down to a build up of cows milk nasties in her diet, and her body just needed a break.
Talked to my HV about it afterwards and she swears by cutting out dairy for 2 weeks, she has adult friends it has made a difference to as well.
Just a thought, I know everyone is different.
Good luck.