Vinnie, what do you mean your face was "murdered" by BP? If it is still red and raw, I'd let it heal before you use a glycolic acid, or AHA. AHAs will remove the top layer of skin (the speed depends on the concentration of the AHA, of course), and will make it more sensitive to the sun. If you try to use it while your skin is already sensitive or unhealed, this could lead to trouble!
Maybe try using a good moisturizer or pure aloe vera to help it heal first.
As I've written in other posts, my favorite glycolic acid or AHA product is Alpha Hydrox oil-free 10% Enhanced Creme or 10% Oil-Free Gel. Both of these are suitable for acne-prone skin and can be purchased very affordably in drugstores. (Look for the red boxes in the skincare aisle).
AHAs can also help to prevent future acne, because you are getting rid of the excess dead skin cells that would have otherwise clogged your pores.
They also eliminate red marks really well!