14M Itchy, flakey scalp with nothing working anymore.

I've had this problem for almost 2 years where my scalp out of no-where became itchy and flakey. Here's what I've tried.

Washing my hair everyday

Washing my hair once a week

Use lukewarm water

Oiling my scalp and hair before washing

Using a very gentle tea tree and rosemary oil shampoo

Use a shampoo dedicated to dryness (Head and shoulders dryness rescue)

Use a scalp scrubber in the shower and to exfoliate the dead skin and flakes before showering

The flakes I have are small and white, so I always thought I simply had a dry scalp. But I've done everything I could to get rid of the itchiness and flakes but they just don't go away. So I'm starting to think if I have a scalp condition or infection. However, I doubt I have like scalp psoriasis or anything as my scalp isn't red with dry patches. Nor do I have hair loss. It's more like dry flakes that just don't go away no matter what. Not to mention my parents wont let me to visit a dermatologist for whatever reason.