Tomorrow is supposed to be about a thousand degrees in NYC. Generally, one should avoid taking showers on Shabbos. However Rav Moshe Feinstein paskened [Igros Moshe Orach Chaim vol. IV simon 74 page 145 and
simon 75] that if one suffers great discomfort it is permitted to take a cold shower on Shabbos. Of course, one must be careful not to squeeze the water off his hair with the towel and of course not to use hard soap.
Enjoy the schvitz tomorrow:-)