I've lost around 30 birds over the years to hawks, all types have been seen dining here enjoying a fresh chicken dinner on a tab. I have, after trying all the many suggested ideas with no luck, employed the S.S.S. method of predator eradication. Keep in mind that your two Coopers main goal is to create more little Coopers hawks, increasing your future flock's chance of an early dining experience.
In your case, if you live to close to neighbors for the discharge of a firearm or if you don't have the stomach for breaking the law, there is always climbing that tree and burning our that nest or felling it altogether. Someone suggested using a Paintball Gun to spray them with colors, I prefer Turkey loads.
I guess you could always just let your birds out to free range and they will be content until dinner time comes- guaranteed no squawking to the neighbors after that. Plus, your new chicks can then be trained to never know what it's like out of the pen.
My wife suggested a flare gun for the nest but if your located in a drought state, I'm not so sure..............
Rest assured that the method I now employ has brought the problem to a complete halt. One writer to this forum brought to mind that if the predators have continued to assault your flock, then there must be to many hawks, kites, owls, opossums, coons, dogs, or cats in your vicinity that must be culled out.
Good Luck with whatever you decide to do.