Summer in Kansas can be very humid. Our previous house was stucco, built in 1926, and shaded by large oak and walnut trees in the front and back.
We bought a whole house window fan and put it in the window. In the evening, we opened windows on both sides of the house to pull cooler air through. In the morning,we would watch the thermometer, and when the outside temp was almost the same as the inside temp, we would close the windows, pull the heavy drapes, and move as little as possible. By the end of the day, our house was 10-15 degrees cooler than the outside temp.