I just discovered this thread after waxing poetic about olive oil on another thread.
Stores have to apply to accept FS/SNAP and meet USA requirements for selling a variety and enough food. Family Dollar, Dollar General, Ninety-Cents Only, and 7-11 all accept FS/SNAP.
I use olive oil on a nasty dry chronic skin condition with a prominent dermatologist's blessing.
But it doesn't have to be olive oil. You can use something cheaper, like soy oil or sunflower oil, if you can tolerate it. The issue is the pureness of the oil, that it doesn't have addtional stuff in it. That's why my doctor approves of it.
I think I am allergic to coconut oil, very drying, so it doesn't go on my skin.
Fats are less likely to have the allergens than carborhydrates.
If you feed your baby soy formula, you can certainly try rubbing soy oil on the baby.
If you can find arrowroot poweder, and I found a large bag cheap in a health food store, you can try that as a skin powder. I've seen yam powder in African stores. Just look around in different ethnic stores.
Corn is an infamous American allergen; I don't know how allergenic cornstarch actually is. But everybody is different!.