Sebum granules on the scalp

My skin is quite dry. Since I don't tend to have breakouts, it's comfortable as long as I apply the right cosmetics.

I think my scalp is oily because it feels greasy, and I keep getting sebum and breakouts. It's also itchy. It's a bit better since I started being careful with my shampoo, but I still find myself constantly touching it. ㅠㅠ

How do those of you who have sebum-like granules coming out of your scalp manage it?