If they aren't going to a park they can eat in either DTD or any resort restaurant. A 10yo girl is definitely going to have an opinion, so I would show her a few menus and let her select. From DTD they can take a bus to any WDW hotel and they can get a return bus to DTD too.
For character meals take a look at:
- Chef Mickey's at the Contemporary
- 1900 Parkfare at the Grand Floridian has a really fun Princess dinner
- 'Ohana has a character breakfast, Polynesian hotel
- Cape May has a character breakfast, Beach Club
At Downtown Disney I'd probably go with either:
- Rainforest Cafe
- Trex (new Dinosaur restaurant)
We absolutely loved Chef Mickey's (breakfast 'til about noon, dinner starts around 4 or 5pm).
1900 Park Fare's dinner seems to be just a hoot and starts around 4pm too.
Mod OP might get more responses if this is moved to the Restaurant board!