Do you have any fans? If you open up the windows that will help too (air is always colder at night so you want that air to come in and the hot day air to go out).
At our last house, Dan and I had moved from an apartment with central air so we didn't have a window air conditioner the day we moved in. It was over 90 degrees that day and after all that hard work we were ready to die in the heat. So at 10pm when we were finally done we went out in search of an air conditioner. Home depot was sold out, target and walmart were closed, and those were the only major stores nearby. We went to an all night grocery store and were so excited to see a fan until we found out they were sold out. We were so desperate we convinced the manager to sell us the floor model. Best $10 I ever spent! Now the fan is put to good use in my classroom.... 90 days + No air conditioning + no windows open at night + a zillion sweaty students =