I have curly hair - soft, loose ringlets - the fragile type that quickly turn to frizz in the wind, and I have used conditioner only on it for years; no shampoo and never a comb or brush. The only time it gets combed is at the hair dresser's, and then it takes a few days for the curls to recover from that torment.
The conditioner I use is a coconut one for dry hair by Dessert Essence. Partly, but not 100% organic. The label claims that it does not contain any parabens, sulfates, phthalates, artificial colours, silicones, EDTA, glycol or any petroleum-based ingredients.
I read the book, Curly Girl, The Handbook, by Lorraine Massey about 6 years ago and it has completely changed my hair care routine. Lorraine addresses the different curl types and how to care for each of them. It has a few natural recipes to try out too, if you want, but they aren't necessary. You may find this book helpful. Maybe your library has a copy.
Good luck finding something that works for you.