Try anything that is Lamb and Rice
I’d definitly take her off the Beneful…it’s not the best stuff in general, let alone for a pup with skin issues.
Try one of the Natural Balance Foods. It’s pretty high quality stuff and you can get it at any petco or petsmart. It’s all natural and they have a few allergen formulas for your dog. Good stuff.
Also ask your vet about the z/d food made by science diet. It’s excellent for dogs with special allergies or skin conditions.
I can’t recommend a real good dry dog food right now, but my dogs stomach was really upset, purebred dogs vs commercial dog food. After about a month with dog foods, I decided to cooked real, lamb and rice for him for about 2 months, and later slowly introduced him into dry iams, (lamb and rice). It was quite remarkable how he switched from my cooking to iams, then to a affordable dog food brand that he totally loved. He was a beautiful Belgium Sheppard.
The following source will definately lead you in the right direction though. If I can’t paste it here just go to the pet category and look for the top answerer. Chetco is an excellent person and will respond to all pet situations.