I have notices that same thing also! Practically any dairy exposure at all tends to leave me feeling and looking more oily and the acne which was SO BAD before starts to show again. However, having been eating a plant-based diet for a couple years I have noticed an outright extinction of all my acne, it's really awesome.

I really like all nuts, so I would consider drinking just about any nut milk. I like almond, cashew, hazelnut, walnut, coconut and hemp milks. All of those are worth trying, and have much healthier and more abundant calcium, proteins, flavor, etc (: