Try using a moisturizer without any active ingredients in it - simple moisturizers are just way less likely to clog your skin. How does your skin feel right after washing? Does it feel tight - like you can feel the stretch when you smile? I think in general moisturizers are good for skin, especially in POC b/c we get ashy. Also if there's a lot of dead skin hanging around, it combines with oil and causes breakouts. So you can have dry skin + acne. The two are NOT mutually exclusive. Your skin also looks like clogged to me. You could try some gentle exfoliation. I really like the Paula's Choice products. The Ordinary is also good -- it's cheap skincare you can get online so you could get a BHA or AHA from there.