Try t-gel shampoo. There are a lot of them but that’s what I would try first.
There's articles around here that cover a wealth of options like T-gel or other coal tar prep and remember this is an auto-immune disease so less is more. Avoid fragrance and keep to as few ingredients as possible.
I used Coconut shampoo but without medicine mine took over my whole head. I use multi things from Dermatologist now. I use Clobetasol , also use a oil from doctor and leave on for 4 hours daily. I was on Celebrax but that made it worse. Now I am on Siliq and started Otezla. I have lost over 75 % of my hair. I started getting severe itching and scales back in last year. I would recommend talking to Dermatologist to see about medicine so it don't get out of hand. Good luck.