Not that many hotels in that short of time. I did 2 different hotels, the first one for 2 nights, and the other for 5 or so nights (it was a DVC rental, and so I stayed at Pop to save $$ on Fri and Sat).
If you're really good about living out of your suitcase, it might not be toooooo bad - but I like to hang up clothes or put them in drawers, and toiletries unpacked so that many changes would drive me a bit nutty. Also, no way would I do it with kids - - too much hassle.
You won't be able to do the dining plan in a cost effective manner, and notoriously, DME has had issues with me when I have switched resorts, so be prepared to call them the day before you go home to get your pick up time.
Also, it is normally recommended to go from value to nicest, so your order should be reversed to 'step up' each move. It helps make the lowest cost one in the visit not be a disappointment.
When you make room-only reservations, you have to pay 1 night up front, and the remainder when you check in. So you'll be tying up 3 nights of lodging when you book it, over 1 if you were to stay at only one place. Not necessarily a big deal (because you won't be paying any more, just paying it earlier) - but something to be aware of.
Personally, if I really wanted to stay at those, I'd only stay at 2.