Clean and Clear has a blackhead scrub you could probably use. You always want something exfoliating for blackheads I think!
I think it all depends on your skin type and all! But I've heard if you refrain from soaps that have scented face washes it should help clear up and stop any irritation from happening in the skin. Try using some natural soap ingredients. There are lots so I would research on the internet for best ones for you. But if youre looking for a more generic brand try using Noxzema. Works excellent and they have it for all types of facial problems. Hope it helps :)