The Haitians get dumped anywhere that will take them, and that's a very small number of places. Also politically you're better off ditching them in a red state that you've written off entirely, ideally in a single city. If you divide the 20k and put 1000 per in 20 states you risk generating a broader backlash.
The Springfield situation went viral because Haitians are so toxic that they managed to cross the one line Whites still hold - the sanctity of kittens.