R.K.
Finding an unscented shampoo and conditioner is nearly impossible. I know because I tried for years. My scalp would itch and itch and itch if I used grocery/drug store shampoos. I kept 3 different bottles of shampoo and 3 bottles of conditioner in the shower so I could switch each day.
I started using salon shampoo and no more itchy head. I know the cost is over the top but the good thing is one liter bottle will last a year. I would go and buy a sample size bottle of shampoo and a sample size conditioner from a salon and try it to see if it works