Non DVC members must book through CRO/WDWTC. There should be some rooms available for cash for stays beginning May 1 or later.
Not all of the Kidani rooms have been sold to members just yet, so the developer will send the room nights it still owns to CRO/WDWTC to rent to the general public for cash.
You will have to call CRO periodically to see if they have rooms in Kindani available.