I have oily, VERY acne-prone skin that gets dry very easily as well. I've been battling acne for yeaaars, trying different products and different routines.. so far sticking to this routine seems to help

AM:
Wash w/ Purpose Gentle Skin Cleanser
Moisturize with Olay Complete SPF 15 Sensitive Skin (sometimes mix with a bit of Vaseline if I'm extra dry)
Apply makeup as usual
If I have flakes or dryness, I massage some Neosporin on the area. Usually this is the area around my mouth and nose. Then pat a towel over it to take away the shinyness the Neosporin leaves.

PM:
Take off makeup with a mixture of Pond's Cold Cream & Purpose Gentle Skin Cleanser
Wash again with Purpose
Apply Retin A Micro
Vaseline/Aquaphor around eyes and mouth.

I also apply a 15% AHA cream on my feet, let it soak in, then coat it in Aquaphor or Vaseline, put on some thick socks for SUPER SOFT feet