Earlier quoted context omitted.
I'm surprised you're handing incoming requests from everybody. We only process the CloudFlare ones and drop the rest.
You can fill the pipes to the server(s) you're targeting, it doesn't have to be application layer.
Fortunately, while said quantity was indeed aggravating, it was low enough that the cost was financially and logistically less than trying to do something more elegant.
Sometimes brute force and ignorance is, in fact, the right answer, and I don't have to -like- that being true for it to be true.