You can make a soap with Pine Tar, Charcoal, Need Oil, Tomato Paste (or juice or soup), Olive Oil, Sweet Almond Oil, Lanolin, Jojoba Oil, Shea Butter, Avocado Oil, Lavender EO & Tea Tree Oil.
It is going to be a really black soap with a grey lather, but it works. Play with your percentages in SoapMaker keeping in mind that you're looking for a very moisturizing product which is why I haven't included Coconut Oil or Palm. A good substitute for those is Tallow. Keep your lanolin down to 6%, Pine Tar at 5%, Charcoal 1% and then the rest is created to your skin preferences.