What is the best chemical peel for someone with tanned skin and severe hyper pigmentation with oily skin?

In order to best answer your question, a physician who specializes in aesthetic medicine should look at your skin.  Having said that, one of my favorite peels for improving oiliness and hyperpigmentation is the melanage peel.  It comes in two strengths.  Full strength melanage peels have about seven days of intense peeling and redness.  Mini-melanage peels have about five days of mild sloughing.  A series of 3-4 mini peels usually equals the results of one full strength peel.I highly recommend that you stop tanning and begin using a good, physical-block sunscreen.  If you are not going to stop tanning, you should not waste money on chemical peels as you will only continue to damage your skin.Best of luck to you.

Chemical Peels can be tricky for individuals prone to hyperpigmentation. That being said, your best bet for a favorable outcome is proper preparation: your skin must not be tanned, should be using sunscreen with at least an SPF of 30, must be off all retinoic acid or retinol-containing products for one week, and you should be on a prescription-strength topical lightener two weeks prior to the peel. For at least two weeks after the peel and sometimes longer, you should continue the topical prescription-strength lightener and sunscreen.
As far as choosing the best peel for oily or acne-prone skin, you should opt for a Beta-salicylic acid peel, as the salicylic acid tends to be the best to reduce oil. Hope this helps!