How do I deal with a really weird bit of sunburn on my chest?

Everything is well till the part where you peel off the dried skin.. it's a mistake to do that, you'll create a open wound.. may cause infection. My advise is do not go under the sun anymore till the stinging stop. Do apply lotion to calm down, moisturize and protect the skin. If skin is burning hot and dry, it's advisable to apply lotion every hour ( 2 to 3 days ).. a little inconvenient, but that the best repair method. Do not put ice directly! Stay out of sun for at least a week, or a never ending problems ahead.. :)