My friend swears by Avon's True Pore-Fection Skin Refining Mask, and she has slightly oily and blemished skin. Or I say 'had'. It's cleared up, and she says it's due to this mask. I remember her telling me how crazy it was when she first used it - she's always had trouble with blackheads, and the mask "sucked them out" according to her. I thought she was going to cry when she told me about it the day after! Lol.
It's a clay mask with micro-beads in it (it also has small amounts of glycolic and salicylic acid), so you get the deep cleaning plus the exfoliation you were looking for.