We had 15 people ages 2 to 71 back in April last year and had great luck with the places we ended up eating at.
Mama Melrose - Had a late lunch (3:00) and were seated all together at one large table. Barely anyone else in our area.
Chefs de France - Had another late lunch (3:00) and again were seated all together at one large table
Tusker House (Breakfast) - Seated at two long tables back to back. This was actually excellent because the characters used the space between the two tables to pose for photos. We got A LOT of character time.
Boma (Breakfast) - Seated at one large table, amazing server
Via de Napoli (Dinner) - Seated at the large table in the center of the room. The only issue here was that the high chairs come up a little short of the large table (it is sort of a high top) but it was not much of an issue with our 2 year old. She sat on a booster and was able to reach.
We also ate at the ESPN club and they sat us at two booths back to back (this was just a part of our group, not all 15 of us)