J.T.
K.,
Congrats on the new baby! My husband is active army so I know you are dealing with alot right now. Please know you aren't alone and if you need anything at all you can contact me!
I work as a nurse and skin care consultant from home, there is no really safe product out there for such a small baby. I would just recommend using a good cleanser that does not contain mineral oil or alcohol, and wash her face with just a warm washcloth after every feeding. My company does have a baby line that contains no mineral oil/baby oil/alcohol or harsh cleansers. You can take a look at www.J..myarbonne.com My 3 year old still uses the products for his eczema. I know it seems expensive, but it's the best on the market and I do offer wholesale discounts to everyone.
Keeping her face clean of milk and foods will help and maybe offer a little water at times. One ounce of flouride baby water is safe and will help keep her stools soft, too. I hope this helps! And thank your husband for us. We do appreciate what you BOTH are doing for all of us!