Try washing your face with just oil. Perhaps jojoba oil which is very good for your skin and isn't too heavy. The other oils you have tried are great oils too. Depending where you live you may not need anything else on your face after washing it with an oil cleanser.
Have you seen a doctor? The way you describe your skin it appears to be out of balance so it is very irritated. I suggest you see a doctor as you may have some allergies to outside forces, food, etc.