Are you sleeping on an unwashed pillowcases or does your hair/?
I have this problem--I have had severely acne-prone skin all my life, just got off of Accutane, and am still struggling. I sleep with my hanRAB under my cheeks, my face sweats, and I wake up with greasy skin and whiteheaRAB. If you only have moderate acne/moderately acne prone skin, try using a salicylic acid and benzoyl peroxide, maybe rubbing a little into acne-prone areas before you nap.