Those oils are kind of heavy (olive, coconut.. Never tried jojoba) so maybe you should try a lighter oil like sunflower or sweet almond oil before giving up oils completely. Also, how much oil do you use anyways? You don't need to saturate your hair.. Just a light coating or even just the ends. You could try the fingertip method
pr just use a few drops enough to make your hands shiny when you rub it. If did try other oils and decide it's not for you, you can try butter, but I heard that they may be heavier than oil but not as greasy.. Vinegar rinses also smoothe the cuticle, sealing the hair. Good luck!