Itchy bumps on your forehead and cheeks right after a head bath point to a contact allergy, most likely from fragrance or sulfates in the shampoo running onto your face rather than a reaction to the hair wash itself. With sensitive skin, this can happen with almost any strongly scented shampoo, not just the brands you've already tried.
Next Steps
Switch to a mild, fragrance-free, sulfate-free shampoo, tilt your head back while rinsing so it runs off behind you, and rinse your face with plain water right after. Please consult a dermatologist if the bumps keep returning despite this.
Health Tips
Get seen sooner if the bumps spread, blister, or your face or eyes start swelling.