I shipped a PC to my girlfriend, sans monitor (had that shipped directly to her) by FedEX residential ground for around $60. There were two large boxes, one with the case in it's original box + 6" of packing on all dimensions (yes, it was a big box when I was done), the other slightly smaller with the keyboard, mouse, speakers, software, accessories, etc. I shipped them on Monday, she got them on Friday. I live in Oregon, she lives in Pennsylvania.
Everything arrived perfectly. The biggest problem was getting the packages to their hub, as they don't pick-up for this service. I had my grandparents take them in their truck.
Viper GTS