Here is a soap that you might want to give a try.
High Olive, 69%
Coconut, (no more than 20%)
Castor Oil (no more then 5%)
Shea Butter (or mango butter at 3%)
Cocoa Butter (around 3%)
Sodium Hydroxide (Lye), 7-8% lye discount
Distilled Water,
Lavender, Lemongrass and Tea Tree Essential Oils blend at 0.5 oz TOTAL per lb. of oils.
You could also try adding allantoin or hydrolized oats to soothe.
If you need help on how to formulate this for a particular size batch, let me know and I'll help you with it.