Summer is peak season at Disney, but it is the value season at Tropical Palms. You will save close to 3X staying at Tropical Palms. However, you will have to pay for parking at each Disney Park. I've never paid for parking at Disney, but the last time I checked it was $15/day.
How old is your daughter? If she is pre-teen and not a huge fan of Harry Potter and/or Roller Coasters, Disney is probably enough. Universal is a great park for the rides, but the fit and finish it completely different from Disney; very elementary compared to Disney.
A week of Disney World and then a Disney Cruise, might just be Disney overload. Considering the crowds you'll be dealing with at Disney World and Universal, you might want to consider getting a 2 or 3 day pass at Universal and skip Disney World or at least the theme parks. If you or your daughter are into Harry Potter, you'll probably need at least a day just to do the Wizarding World at Universal.
If you want to see some of Disney, you can go to Disney Springs (used to be called Downtown Disney) and then get on any bus to see any part of Disney. We like Hotel hoping. If you don't stay at the Fort, definitely check it out. It's also worth talking the exercise trail to the Wilderness Lodge, it's only about 1 mile.
-Michael