Raining from my tree
I have a black gum tree that is pouring water from the upper branches. It has been literally raining from this tree for the last week. You can see the drops falling from the leaves and branches if you look up, like after a heavy rain has stopped. The "rain" is not sticky or thick it doesn't taste like anything and it doesn't leave a residue. If you stand under this tree for more than 10 minutes you would be wet. Some people have said it is aphids but this is a lot of "water" that has the area around the tree soaked and my car wet (like it just rained) everyday. Seems to happen more during the day than at night. The tree is around 60 feet tall.
This sounds like you have an aphid or scale infestation that is causing honeydew to drip. The cold weather that is forecast should end this problem. http://extension.umd.edu/hgic/soft-scales-trees-and-shrubs