You can cash $200 a day with the front desk at the hotel, but you must have a CC as well. Not that they charge the CC, the just write Visa, Mas, AMX, etc on the check (they don't take the number, kinda silly, but...) anyway, they will call it in for authorization, but you are able to do that
There is also a Suntrust bank across the street from World of Disney (at Downtown Disney) if you want to go to an actual bank.