If it hasn't been suggested already, rent a floor buffer, and use turpentine on it. Then cut the trees down.
SJ - that issue sounds like lanternflies. We had the same issue at our place. The problem with the "honeydew" as they call it is it's a perfect breeding ground for a type of mold that, when left for too long or over winter, will fill out every porous material. It took me half a day and a high power pressure washer to get it off of a 20x30 wood deck. I removed the tree in question this year (tree of heaven, known host of the lanternflies) and haven't had any more issues since the lanternflies are no longer over the deck.In no way helping your cause, but your thread reminds me of the trouble other trees cause. Coniferous trees are well known for shedding sap, but in my yard the oaks make a mess. They spit a dark brown sap every year. I don't know exactly what it's caused by, I assume some function of leaf or acorn drop but perhaps it's honeydew from insect infestation. Anyway, the sap rains down in 1/8" droplets that are barely noticeable individually but make a car, boat or trailer look like it's been shot with a load of #9's. Tough as nails to get off.
Tim,SJ - that issue sounds like lanternflies. We had the same issue at our place. The problem with the "honeydew" as they call it is it's a perfect breeding ground for a type of mold that, when left for too long or over winter, will fill out every porous material. It took me half a day and a high power pressure washer to get it off of a 20x30 wood deck. I removed the tree in question this year (tree of heaven, known host of the lanternflies) and haven't had any more issues since the lanternflies are no longer over the deck.
As for the pines, as many have said your best option will be to remove them. Dropping sap is normal - think maples running sap in the spring - during spring and fall when the temperatures fluctuate significantly. An arborist will be able to address issues if the trees are stressed from disease, but this will only moderate the issue during the non-shoulder seasons. Come spring/fall you'll always have that dripping sap.