Sadly, the Florida resorts did not seem to offer these when we were there. When it's so hot outside, take some time to plan your day. You'll find that a little planning will go along way toward making the day more pleasant. Plan to visit it in the early morning or evening, to avoid this problem. In Florida, we've found the same issues to be true of Animal Kingdom.
Animal Kingdom is also extremely humid, due to the lush vegetation.
This is one day where you'll want to be at the park the second it opens, and plan for a half day. If you want to see more of the park, you can always plan another half day later in your trip. There are lots of great places to take shady rest breaks in all of the parks. Our Disneyland Favorite is Coke Corner, which offers a few tables in air-conditioned bliss. Other great Disneyland spots include Tom Sawyer's Island, Fantasia Gardens and The Disney Gallery.