Too many acne cleansers I’ve tried, I finally found something that works! It’s not really a cleanser specifically made for acne but the natural ingredients helped a lot in taming my breakouts. I still once in a while get breakout, because of what I eat or nearing to my period, but other than that I’m free from blemishes
And this is very cheap, you can get it for only $4.28 at Swanson Vitamins. Below is the description from the website, hope this can help you too.

* Natural, 100% Vegan face wash
* Features organic Tea Tree Oil
* Replace your old cleanser with this soothing, all natural wash that is good for you and the environment Desert Essence Thoroughly Clean Face Wash is a gentle cleansing solution that leaves your skin feeling silky and smooth. This unique face wash contains natural Organic Tea Tree Oil, a natural oil that cleanses without making skin feel tight or dry. Also included are soothing extracts of Goldenseal, Hawaiian White Ginger (Awapuhi), and essential oil of Chamomile. Mineral-rich Bladderwrack, harvested from the sea, nourishes the skin to leave it looking vibrantly healthy. Thoroughly Clean Face Wash ever so gently helps improve the texture, clarity and radiance of your skin.