You will find that there is not a shortage of condos in the Orlando area.
My suggestion is if you want to try and find a bargan, go over to
Timeshare Users Group website. There is a "last minute rentals offered and wanted forums. Check those out. You may get lucky and find a very nice place for a lot less than you think.
Also, does Hilton manage any timeshare properties (I see you are a Hilton member)? I know Marriott has a number of them close by Disney that would fit your bill (Grand Vista, Imperial Palms, Sable Palms, Royal Palms). The 3 Palms properties are on the Marriott WorldCenter Resort site and you would not only have access the Timeshare amenities, but also all the Resort's amenities as well. If you have smaller children, they may really like the Marriott Horizon property as well.
They should all be within your price range and close to Disney and golf.