acne probs

I have a hormonal imbalance due to thyroid problems that I can't take care of right now. I don't want to take BC in case I make it worse! But I've been breaking out! Before I never had to wash my face I would just use coconut oil (I have very dry skin) but now it's not working... I wanted to know what products to people use that work for them! I have dry skin and a semi oily T zone!