Thank you for your question.
There is no chemical peel that is good for rosacea. Rosacea is primarily due to possible faulty regulation of the blood vessels of the face, leaving them dilated and producing the characteristic redness. There are other hypothesized factors, but none have been proven as a definite cause. Over time, there are telangiectasias (permanent tiny blood vessels), and other signs of rosacea (acne, rhynophyma) that may occur.
Chemical peels work by removing the top layer of the skin (epidermis) and sometimes remove the second layer (dermis). The blood vessels are in the second layer and chemical peels do absolutely nothing to target them or remove them. A chemical peel is the wrong choice for rosacea.
To get the best treatment for your rosacea, you can do antibiotics, topical creams/gel, and laser. Currently, laser seems to the best solution for most rosacea, especially the Vbeam laser or the IPL.