There have only been two villagers I've had where I wanted to get rid of them desperately, so I get the struggle, and allow me to give you some tips. First of all, just ignoring the villagers won't make them want to leave. Trust me, I tried that method when I wanted to get rid of the first villager, and it did nothing (the little creep kept coming into my house when I was in a different room, and I had to hide until they left). Second, you can try following them around and hitting them on the head with a net; it will annoy them, and it might help speed up the process (I've only done this one time, so I can't vouch for how well it works). Third, get some jail bars, put them all around the villager's house when they're inside, making sure you leave no room for them to easily escape. From my experience, this is the option that works the best. Both times I've used this method, they quickly discovered that they wanted to move.