try baby lotion?
nd about the hair being more oily, thats actually good for your hair nd helps yur hair grow cuz the natural oils that come out of yur hair helps nurish yur hair... the lady that cuts my hair told me nd she said its also not healthy to wash yur hair everyday...
ive noticed my hair gets dirty/oily faster after washing it. idk what to do about that except wash it more?? i usually wash it every other day. i dont have any skin issues, but stay hydrated and use lotion :)