If you do not include coconut or some other type of hard oil, your batch will be too soft and melt fast in the shower. Most irritations caused from coconut are from using it over 25% in your recipe. If you are scared to go that high, at least go with 15% so you can have some stable lather. The addition of Castor oil will make some soft bubbles as well. Out of the other oils you listed, I would just go with Olive, you can do without sunflower and canola since they will make your recipe too soft without the addition of more hard oils. A little bit of neem won’t hurt, but leave out the jojoba. I find jojoba works best when applied directly on the skin, like in lotions or creams, and looses most of its properties when added to CP soap. For oily skin, try adding some French Green Clay to your batch, about 1T per lb of oils, it will also help to give you a harder bar. Also Essential oils work well with healing, such as Lavender, Spearmint, Lemon, and Tea Tree. Keep in mind that soaps can only help heal acne and prevent some of the oiliness and clogging of the pores on the outside. Most acne is caused by hormones and dysfunctional pores. Problems arising on the inside of your body, that soaps and washes can not help. Here is a suggestion: Castor 10% Coconut 15% Olive 65% Neem 10% and add 1T of clay per lb of oils.