I swear I am not a shill for the company, but try Drunk Elephant products. A lot of them have AHA/BHA in them which is a light skin peel that will help even things out, get rid of any traces of makeup gunk, and naturally unclog pores... but they're made from natural products that most likely won't cause an adverse reaction in problematic skin. I'd had crappy skin since middle school (I'm in my late 30s now), and am still in shock at how much these products changed my skin practically overnight. It's now flawless every day.
Specifically, look at the "Babyfacial" (for use once a week) and the "Framboos Glycolic Night Serum" (for use nightly/every other night), followed by one of their moisturizers. The products are not cheap, but man do they work, at least for me. You can find them at Sephora or on their website.
Good luck!