Using a wet/dry vac is the way to go. On my XLT, I pulled the radiator cap off, and hit it with a vac to suck the level down, then took off the highest hose to the head and put the vac on that. In about 15 seconds, the system was completely dry. Poured the old antifreeze out of the vac into a recycle container and rinsed what little was left in the vac out. No mess, and the vac should dry out just fine. Be sure to take the filter out of the vac before doing this, or any moisture that gets on it will turn whatever dust is on it to concrete, essentially.
Don't know enough abot my new 700RMK to know how it would work, but should be able to do something similar. The factory repair manual for the XLT said to take off the lowest hose and just let the antifreeze drain out of the belly pan (and probably all over the floor). That would be messy!