You can get better prices for Paradise Palms on Flipkey.com, Homeaway.com, vrbo.com, vacationrentals.com, and Trip Advisor. We have seen management companies asking over $250/night for PP when private owners on Homeaway were asking 125 or so.
To the OP, any of the sites I listed will have a ton of rentals. I like Homeaway and Trip Advisor because they let you sort by subdivision, if you have decided on one, or just sort by city or zip code. The closest to Disney are in Kissimmee zip code 34747.