Sounds like very possibly eczema, and this could be made worse by allergies. My 2-year-old daughter has it bad, and I had it growing up. We've just gotten hers under control with a diet that avoids several foods she's allergic to (wheat, dairy, soy, corn, eggs, peanuts).
I've tried all the products you named and had a doctor much like yours. I have a new doctor, and here's what has helped us:
-All Free & Clear (fragrance-free for Laundry)
-Aveeno oat bath (not the moisturizing kind, the soothing kind with blue on the package)
-Hydrocortisone, and also stronger creams like Elocon by prescription only (I would not use Elidel)
-My dr. gave us a new product, Cutivate, and it seems to work great. It's .5% steroid lotion, but covers better than the steroid creams.
-Aquaphor ointment, Vaseline is fine too
-soaps: Cetaphil, Dove sensitive or Dr. Brommer's lavender (this one has few additives, smells nice but no fake fragrances)
-I wouldn't recommend Gentle Naturals or anything so heavily fragranced, even if it is called eczema cream.
-Eucerin cream is a must-have for us. It helps to put it on damp skin after bath, so it absorbs better. It's much thicker than a lotion for the extremely dry skin. Has no fragrance.
-Our child goes to Pediatric Associates of Dallas. As for a dermatologist, Robin Carder is at the top of her field in Dallas.
***I think it will be important for you to check into allergies, a regular pediatrician can get your child tested. Eliminating the offending ingredients might be the key. It could be milk, wheat and/or other foods (if you've started cereal or solids). It's hard to find feeding solutions sometimes, but this is the only thing that has brought real relief to my little girl, all the other things just help temporarily, if at all.