I totally agree with TMS. Some areas - Moz for instance, a cat would stay in a tree (they are tall) and this could possibly be done without people ending up in the hospital. In Namibia and I suspect most of RSA someone would get hammered. Leopards are captured all the time in both countries for study, but they are trapped in box traps and then drugged - probably not very sporting. When chased by dogs they "tree" in thorn thickets and rocks. And while I don't have a lot of experience, I have actually followed up three wounded leopards with dogs (not my shooting I hasten to add). You could not pay me enough to try and get close enough to stick one with an airgun or bow in thorn bush environment - much less me pay you. Moreover, cats are thin skinned. A load of drugs in the haunch which would put him to sleep, might the kill the animal if delivered to the chest cavity - would be curious to know what you are using and effects of misplacement. Leopards I have seen in thorn bush, holding off dogs were whirling dervishes, not placid pumas clinging quietly to a branch. Again, the open forest of Moz and similar environments might be different.
I personally have zero interest in such a hunt.