How long you dry them after digging completely depends on how/where you are drying them. If it is inside in a space heated with forced air, then they are going to dry out really fast. My work space is an attached garage, that has been insulated etc, but still has a concrete floor, and is heated with space heaters. It is cold and dampish unless I crank the heat. Last year it was taking me to long to get all of the tubers processed, so I threw sheets of plastic over the trays to keep them from drying out to much. You definitely do not need to dry them for two weeks before storing. You just want them not to be still wet from the ground.
And Karen - yep its a lot of work - last year it was only 100 and still a lot of time, this year I am wondering how I am going to get it all done - so far it has taken me about 6 1/2 hours to do 27 clumps. I hope I figure out how to do it faster! I am hoping to get most of them done this weekend.