dry scalp remedies for toddler!

kk

so my 3 year old daughter has extreme dry scalp. Her pediatrician told me to use head&shoulders; every other day to help combat it. Im wondering if anyone else has any recommendations to help soothe her scalp faster? shes scratching so bad it's drawing blood and causing a bald spot! Shes clearly uncomfortable😞 maybe sooking her hair in coconut oil?? thank you!!