At the OKW annual meeting there was a question about high speed internet service. The reply was that WDW was looking at it for all of their hotels.
There are now high speed internet kiosks located at many of the resorts (it's in Olivia's entryway at OKW). It is free to access any of the Disney sites and you can use a credit card to access personal email and other sites.
As Dean mentioned, make sure you check the access number you'll be using to be certain it is a local number. You can ask the resort operator to verify for you or just look in the room phon directory- there is a listing of all local prefixes dialed from your room. Just check the prefix (OKW is 827) and look down the list.
I use netzero and there are more than 6 local numbers available for that ISP.
Enjoy!