I'd hit MGM Tuesday afternoon since it's a smaller park and could be done in a shorter amount of time, as someone already suggested... On Wednesday I'd spend the day at MK. On Thursday I'd visit Epcot and on Friday I'd hit AK for early entry. After you finish with that (which will probably be on the early side), you could either return to your hotel to relax and then head to one of the parks for dinner or return to your favorite park for the afternoon and stay there for dinner. The only negative about going to MGM on Tuesday is that that's early entry day, so it might be pretty crowded still by the time you get there... All in all, though, I think this plan would make a lot of sense. The only way I would change it is if the weather isn't supposed to be good on Friday (AK day), I'd consider substituting MGM or Epcot for this day since these parks have more indoor rides.
Hope you have a great time with your DD!!
Happy planning,
Sarah