I don't recommend antibiotics, I was on them twice and it cleared me and the acne came right back afterwards. It's a very temporary fix. You're aware that antibiotics effect bcp effectiveness? What kind of topicals do you use?
I was on birth control for 4 years before, and came off it and ended up getting bad acne, I waited a year to see if I'd balance out. Nope. Though I was never clear on bcp, it did help. I ended up going back on it after the year. It's been about a year being back on it, and my skin is doing better.