As a starting point, we have put together a summary of safari experiences within different price brackets. These are based on per person, excluding international flights.
USD/GBP 2-3K per person
South Africa offers a variety of safari experiences and nice accommodation for this price range. Namibia is also a good option. Within these countries, self-drives are worth exploring to keep costs down.
3-6k per person
A South Africa safari on this budget would go a long way. A good 3-5 days on safari and a beach combination would be doable in Kenya and Tanzania with this budget. Depending on how many gorilla treks you would do, a Uganda trip would work well in this budget.
6-10k per person
This bracket certainly opens up more options for safari destinations. A very good safari in Tanzania, Zambia and Zimbabwe are definitely in this price bracket. A Botswana safari would be possible but it would depend on the accommodation and time of year as generally speaking, Botswana is the most expensive safari destination.
10k + per person
Longer safari trips, private experiences and luxury accommodation will be offered in this category. This will also open the opportunity to combine countries. For example, Tanzania for the safari, and Rwanda for the gorilla experience. A luxurious safari in all countries will be possible on this budget.