All acids are not created equal, and most certainly not in terms of peeling methods. If you're going to do a peel, buy a peel from a reputable site. Sulfuric acid for example, is something that can be found in low-grade peeling solutions (TCA), and can stain, discolor or age the skin. Using only sulfuric acid to abrade the skin, is logically a very unwise decision. Using a recognized peeling acid could re-pigment your skin however, though it depends on how the skin lost its color (going too deep makes skin lose pigment, and using acids that are toxic to skin-pigments, like phenol, is another way of discoloring your skin).
Your scalp is usually pale because it does not get enough sun. It seems backwards to assume (if you were) that getting de-pigmented skin from a peel, is an indication that the peel will sprout hair when used on the scalp. Skin de-pigmentation is nothing positive in and of itself. Done correctly, you can do up to, and including, medium peels without making your skin lighter in color.
Stick to known things - don't be a cheapo and use whatever you have in your tool-shed to degrease engines and strip off paint.
Glycolic acid is good, and so is Salicylic acid - the latter perhaps even more so as it is anti-inflammatory, so less complications afterwards. It also effectively cleans pores and dissolves scalp-grease.
http://www.platinumskincare.com/ seem to be a good site to buy from. You can buy sample-sizes that should be good for one use, if you want to try different ones. They also sell acid neutralizers, making the damage more controllable.
You don't need a neutralizer with TCA, if that's what you will pick, as it is self-neutralizing after a few minutes on the skin (it turns white).