I have news for you. By the standards of the third-world, anyone from Europe or America hunting in Africa IS rich. By any rational standard, African big game hunting is a sport of the wealthy. My point is this: the fellow who lays down $100k for a 30 day safari is unlikely to be discouraged by a price increase of $10-15,000. The successful but not rich hunters who make up the bread and butter of the safari trade are very likely to be effected by more modest changes in pricing.
Many successful men are willing to pay the price to hunt Africa, although that requires a certain degree of sacrifice in other areas, and negotiation with one's spouse, etc. Since hunting Africa entails a great deal of pain ($$$$) for most of us (not all), any increase in the barrier to entry can have a disproportionate effect in the gross number of traveling hunters.
Whenever Africa is mentioned as a hunting destination, the fact that the trip is a good deal on a per-animal shot basis is usually mentioned. Once that's no longer the case due to increased expenses, you can count on the popularity of African hunting to wane. There will always be a market for uniquely African animals, but the bread and butter of the trade (plains game hunting of common species) will vanish.