You can use natural products without salicylic acid or benzoyl peroxide. Though my doctor told me in small amounts they are okay, but if you do any research it says the complete opposite. Try burts bees products (but check the ingredients) and also lerosett (very expensive and you have to order online) other then that Google some natural products there are a lot. I use a lerosett clay mask 2x a day and it took a few weeks to work but it's been fantastic, I even use it on my body acne! 75% improvement in my acne in about two months!
Don't use salicylic acid. Go for something more natural, or just use plain bar soap. I am a big fan of Burt's Bees products, but I'm biased because I spent most of my life in North Carolina :)