Your scalp is skin, not hair. The shampoo you are using contains harsh surfactants, silicones and preservatives. The conditioner has only 1-2 emollient ingredients, the rest is cones and preservatives.
You don't have to cowash to be CG, switching to a gentle lowpoo and a condish with more emollients and fewer cones, oils and butters may help. My favorite lowpoo is DermOrganic, their condish is good too. It is available at Target and Ulta and I'm sure many other places. There are lots of other brands too, that is just one example.