I've known two people that did that with their dogs, and both got excellent results. They paid in between $500 and $600 for the training with two weeks of boarding. I don't know if it makes any difference, but one dog was a lab and the other a boxer. I think it depends on the trainer, you need to be sure that you are using a good one. I used the same facility for Jezebel's puppy classes, and I was seriously impressed with their whole operation. OTOH, you might be able to get private training lessons, too, and skip the boarding.
There is another training / boarding facility nearby that promises to housebreak your pup in 2 weeks, and they charge ... get this ... $1200!