A.C.
I would look into food allergies/sensitivities. The skin in the biggest detoxifier in the body. If you have food issues--they'll come out through the skin.
I know; I have many, many food sensitivities and one food allergy. I can't always avoid eating something I shouldn't--especially when I go home to visit and am on the road. I always know when I've been "really" bad and have eaten more forbidden foods than I should have because my face breaks out. Other people I know who have food sensitivities have also told me it's the same way for them--that they break out if they eat something they shouldn't.
Find a naturopath who will test you for food allergy/sensitivities and see what your body is unable to handle.
I used to use a lot of different RX meds from my dermatologist for my "acne" problems over the years. I've learned since going off all pharma drugs that my acne is directly related to eating foods that my body doesn't like.
You can also detox your body; that will also help. You might have more acne at first until most of the bad toxins are out of your body. Bentonite clay is very good, either as a powder or a liquid. Or Diatomaceous earth works wonders for detoxing--and it gets rid of parasites. Make sure you take PLENTY of water with either one, though, so you avoid constipation. You can also use Milk Thistle--I'd suggest a fairly heavy dose at first, like 600 mg, 6 pills/day. This is what my daughter currently takes. She needs to do a daily detox but doesn't (I drink black, green, or rooibos tea every day, so I always get continuous detoxing, as well as drinking 1 Tbsp lemon juice in hot water in the morning before breakfast to help clean out my liver, gallbladder, and kidneys). If you like cilantro and parsley, incorporating them more into the food you eat will also help, as they are natural chelators.
Those are a few ideas you could explore rather than taking birth control pills.
I couldn't take birth control pills for anything, first because I have a genetic liver mutation but second because I would always become horribly sick when I took them. There are side effects to taking birth control pills. Some of them start appearing during perimenopause (40s/50s), some after menopause (like brittle bones/osteoporosis). Do some checking/researching before making your choice.