The animation above shows why there will not be much rain through the 4th of July weekend even though the humidity comes back with a vengence.
The weather has been dominated the past few days by a Canadian air mass. In winter this type of air mass can be quite cold but in summer the air is only a bit cooler while the change everyone notices is the lower humidity. So with temperatures in the mid 80s, sunshine and lower humidity summer Canadian air masses bring enjoyable summer weather.
Surface humidity alone is not enough to get widespread rain. For a big rain event in the FOX19 viewing area you need surface moisture plus moist air above that. Meteorologists talk about a deep layer of moisture and measure it with something called precipitable water. If all the moisture in a column of air above a point rains out the total depth that fell is precipitable water.
Now back to the animation. For a deep layer of moisture and a large value of precipitable water we need air flow from a moisture source like the Gulf of Mexico and the Carribbean Sea. But our air flow in the middle and upper atmosphere through the 4th is from the west and therefore quite dry because any Pacific moisture falls out as the air rises over the mountains of the west and there is no other moisture source as the air travels towards Cincinnati.
So my forecast calls for the air above the surface layer to be dry and that will give us only scattered showers mainly Sunday as a front comes through the FOX19 viewing area.