I'm sorry, I totally misread the original post. You won't be able to oxidize benzene without oxidizing pyrene - I thought you wanted to oxidize pyrene without oxidizing benzene. The polarization half wave oxidation potential (basically, ionization potential) of benzene is 2.30 V vs SCE (in MeCN); the corresponding oxidation potential for pyrene is 1.16 V vs SCE. (Pysh and Yang, J. Am. Chem. Soc., 1963, 85 (14), pp 2124–2130). It takes more energy to remove an electron from benzene than pyrene.
I appreciate the other posters reading your post more carefully than I did; I apologize for confusing you.