You can totally omit the shea butter and/or tallow and swap for a beeswax, cocoa butter, mango butter, kokum, butter, murumuru.
I recommend the tea tree essential oil for acne or yeasty prone skin and scalp. alternatively you can use 8 drops each of helichrysym, frankincense, lavender. Or rose, helichrysum, ylang-ylang. Or go full force by adding 24 drops of a single essential oil. I love turmeric for it's brightening ability.
Find it online: https://crave-worthy.com/shea-butter-balm-with-castor-oil/