AC Broken. How to beat the heat?

Ca
So we live in St. Louis Missouri where the summers are miserably hot and humid.  Our AC broke on us two days ago and they need to order a part to fix it.   
Do you have any tips for trying to survive 95 degree heat (especially at night when trying to sleep)???
Cold showers help for a little while.  We tried the trick where you put a bucket of ice in front of the fan, but that didn't work.