It’s not a bad recipe at all, but some people find coconut oil drying and shea butter not as kind to skin as cocoa butter. Avocado oil is a bit more nourishing than sweet almond oil, but that’s probably not the reason for it to be drying to your skin.
I’d lower the coconut oil and increase the almond oil or olive oil (or use avocado oil for some of it) and increase the superfat to 7 or 8%.
Are you opposed to animal products? Lard as an ingredient may be a great soap for your sensitive skin.