From your list, I'd try to rent Disney Vacation Club (DVC points). You could rent a 2 bd at either Wilderness Lodge, Bay Lake Towere, Beach Club, or Boardwalk. I picked these because:
Bay Lake Towers( no food court)
Walk to Magic Kingdom.
Walk to Magic Kingdom and take the monorail to Epcot.
Take buses to Hollywood Studios and Animal Kingdom.
Take monorail to Epcot walk to Hollywood Studios(30 minute walk) or take the boat t the International Gate.
Wilderness Lodge (only one that does have a food court)is a boat ride away from the Magic Kingdom.
You can either go to that park or hop the monorail to Epcot.
You could also take the boat to the Magic Kingdom, take the monorail to Epcot and then take the boat from the International Gate to Hollywood Studios.
If you want to go to Hollywood Studios more quickly, take a bus and for Animal Kingdom, you have to take the bus.
The
Beach Club and Boardwalk (no food courts at either)are walking distance to both Epcot (8minutes) or Hollywood Studios(15-20 minutes) or you could take the boats.
To get to Magic Kingdom, either take the bus or walk through Epcot and hop the monorail(20 minute walk).
You have to take a bus to Animal Kingdom and the bus is probably faster to the Magic Kingdom.
Any moderate or value resort you will have to take the bus. They really are not that far away and you'll save $$$ if you can't rent points.
This link is to one of the more popular DVC rental agencies:
http://www.dvcrequest.com/
I think I have the information correct. If not, someone will come along and correct it for you.