We haven’t cruised around South Africa, but visited Zululand a few years ago and travelled around driving ourselves. Not sure whether that would be safe now, but we had no problems, although there are certain areas to avoid ( as in most places). The Azamara excursions seem to offer game-drive experiences and similar ones seem to be offered through search of independent tour companies. Of those, my preference would be the Hluhluwe Imfolozi Game Drive. The Drakensburg is a wonderful area, including the Battlefields and Rorke’s Drift, but is a 14 hour trip. Personally speaking, we didn’t enjoy the St.Lucia wetland lake, or the Cultural Village. There was little to see on or in the lake and the theory behind the village may be well-intentioned, but not to our taste. I don’t see those options with Azamara and can understand why.
Hope this gives food for thought. Have a wonderful cruise.