Don't overlook the Disney grounds for birding too - snail kite would be difficult to spot there, but there are surprising numbers of regular birds on Disney property that would be easily accessible using Disney World transportation or walking on foot. At least the Florida 'regulars' should all be relatively easy to see, including most waders & swimmers and decent selection of warblers, sparrows, wrens, etc. and raptors.
Some good spots throughout Disney World for spontaneous birding:
1. The wilderness path that leads from Wilderness Lodge to Fort Wilderness Campground - it's about 1 1/2 miles walking/jogging path through the pine scrub woods and close by a lakefront.
2. The boat transportation that runs between Port Orleans French Quarter and Downtown Disney - it's a mile or so boat ride through small forested canalways, past a golf course and the Treehouse Villas and Saratoga Springs Resort. Lots of waders line the banks reliably year-round - snowy & great egrets, great blue herons, ibis, and occasional other visitors...along with cormorants and anhingas. You can also walk a nice path through the same route from Old Key West to Downtown Disney.
3. Saratoga Springs Resort has large birdhouses throughout the grounds to attract various perching birds and migrants, lots of waders and divers all along the lakefront, and some good raptor activity on the pathway from Congress Park section to Disney Marketplace.
4. Boat transportation from Contemporary Hotel to Fort Wilderness Campground, or from Magic Kingdom to Fort Wilderness Campground. This boat cruises the large lakes of the Seven Seas Lagoon and Bay Lake, including all along the old River Country property and the former Discovery Island, which has become a rookery for thousands of birds. Raptors are commonly seen circling the skies here, including red-shouldered hawks and ospreys.
5. Fort Wilderness Campground - a huge sprawling camping resort set into lots and lots of pine scrub wilderness, with lots of undeveloped forest land all around it - it makes it a good spot for some long walks through the camping loops and trails, and out along the lakefront, spotting good varieties of birds (and other small wildlife - racoons, foxes, wild turkeys, opossums, rabbits, squirrels, and turtles are all quite common there).
6. Epcot Center - yep, right in the theme park itself! Not only does the large lake in the middle of the World Showcase attract a large number of ducks and cormorants, but red-shouldered hawks will pop in and out of the various wooded areas like the China Pavilion and Canada pavilion; China pavilion will often have a green heron, great egret, or snowy egret roaming the lily pad ponds around the temple, and lots of various passerines throughout the trees in Future Showcase area, especially the trees around The Land, Wonders of Life, and Innoventions.
7. Magic Kingdom - Frontierland especially is chock full of waders - egrets, ibis, herons of all types hang out waiting to steal food from inattentive guests. Various ducks are usually all along Rivers of America.
8. Animal Kingdom - as expected from a wildlife park filled with tons of landscaping and tree cover, there are huge numbers of local birds that make the place home - waders in huge variety, raptors, and passerines by the dozens if you just pay attention. The bridge that goes from the main entrance paths onto 'Discovery Island' section of the park goes over a river which has lots of overgrown trees hanging over it - pass by this spot near sunset and it's a primary night roosting spot for ibis, cormorant, anhinga, and egrets - they come streaming in from all over the Disney World property and beyond, numbering in the thousands every evening.