I use my regular bath soap on my face. No fancy oils, no special additives. Just lard, coconut oil, olive oil, castor oil. Occasionally I throw some GV shortening (tallow and palm oil) in the mix, but no fancy expensive oils. Why? Because I have tried all those fancy oils, and I and everyone else preferred the high lard soaps to all of them.
But you need to make soap that your skin likes. Try that recipe, then try adding the amount of avocado oil to the lard, and try that. Then try adding clay to a separate batch. See what you like.