Hello,
Epidermal hyperpigmentation tends to be short lived and/or easily corrected with the medications you are using. The fact that the improvement is minimal hints that the problem may be deeper. Hopefully you are getting professional help with this to help focus your erfforts.
Chemical Peels are much safer than lasers with darker skin. I would definitely consult a board certified dermatologist to analyze your skin and determine what is the best treatment for your pigmentation. Best, Dr. Green
I usually advise my patients not to pick at their skin following a chemical peel but rather replace that compulsion with frequent application of bland moisturizers (e.g. aveeno, cetaphil, cerave). You otherwise place yourself at increased risk of scarring.