Aw man, it sounds rough for you! ;-;
Ugh, these villagers take FOREVER to move, at least, the ones that I want to. I'm thinking of moving in and out the random campers so they would count, but I'm a bit wary about that just because I'm getting some great villagers from the camp.
I ACCIDENTALLY VOIDED STITCHES OUT WITHOUT SAYING GOODBYE
I'M AN IDIOT
I also had quite a few TT accidents (STITCHES, Shep and Bob ;-; ) but since then, I switched my method.
I'm gonna keep chugging and see what I can do.
EDIT: oh, I believe the mover-outer thingy is randomized, but more likely if you ignore them, or they're your best friend. Don't quote me on that though, hah. I hope those stingy villagers of yours move out soon, though!
EDIT 2: Annnnd Flurry is in my campsite. .-.