It might be a little late for the most popular restaurants, but you still have plenty of time to arrange everything else
Princess-Free character meals:
1900 Park Fare -Breakfast: Mary Poppins, Mad Hatter, Alice, Pooh, Tigger
Cape May Café - Breakfast: Donald, Goofy, Minnie
Crystal Palace - Breakfast/Lunch/Dinner: Eeyore, Piglet, Pooh, Tigger
Garden Grill - Dinner: Chip n Dale, Mickey, Pluto
Mickey’s Backyard BBQ - Dinner: Chip n Dale, Goofy, Mickey, Minnie
Ohana - Breakfast: Lilo, Stitch, Mickey, Pluto
Pirates and Pals Fireworks: Late night Capt Hook & Mr. Smee, Peter Pan (added as it is perfect for adventurous boys)
Tusker House - Breakfast/lunch: Daisy, Donald, Goofy, Mickey
If you stay 8 - 10 days, it should be possible to find a few nice restaurants to eat, next to the character meal. I would suggest to get yourself a copy of The Unofficial Guide to WDW to look for restaurant ideas. And keep checking, people always cancel or change their dinner plans.
Don't give up!
There is time!