I would suggest you try using Jojoba Oil as it is almost identical organically-speaking to sebum, which is the natural oil produced by your skin. As well as being a great natural moisturizer it can also help with acne, Jojoba Oil penetrates into the skin without clogging pores and is suitable for all skin types it contains vitamin E and antioxidants which are great for fighting aging signs and moisturizing the skin.
Studies on jojoba oil show that it has the ability to prevent skin from becoming too oily. This is due to the fact that putting jojoba oil on our skin can trick our cells into thinking they have produced enough oil. Jojoba oil is also great for people with sensitive skin as it is very gentle.
Remove any surface dirt from your skin, then put just a few drops of jojoba oil into your hand and rub it into your skin when you start to work jojoba oil into the skin, the oil penetrates into the pores. As jojoba closely resembles your skins own oil, moisturizing with jojoba oil sends the message to your pores to stop overproducing the sebum that causing the oily skin.
Initially to get rid of the stubborn deep blackheads\clogged pores, I would recommend that you use a baking soda/jojoba/water paste with extremely gentle circular massaging motions to break up the worst blackheads. Dont overdo it, just massage in the baking soda/jojoba/water paste gently for a minute or two. Rinse with warm (not hot) water. Apply more jojoba oil and massage with a warm washcloth.
The idea is to get those plugs out (blackheads), and get the jojoba oil in there to keep the sebum liquid and flowing. This may take some time as the skin reacts to drying by pumping out oil, and the turnaround you're going for is a natural distribution of oil which will leave your skin soft and balanced.
You only need a few drops, if your skin looks shiney you have used too much (leave it on it is absorbed into the skin).