Shamwari is a bit of a zoo, in the sense that they stock mammals that never occurred in the area (e.g. impala, white rhino, giraffe). Most other private reserves in the Western and Eastern Cape do as well, they feel that being able to show guests iconic or quintessentially African animals is the only way to compete commercially with lodges in (sub)tropical parts of southern Africa.
In the Eastern Cape, Kwandwe is probably your best bet.
Johan