These programs are monitored by a UN agency and every precaution is taken to safeguard the hunter including police escort.Moreover the locals are keen to continue these programs and make sure nothing unsavoury happens.
Gryphon,snow leopard is on the endangerd list and cannot be hunted at any price.
The only requirement apart from cost is excellent physical condition as it is a very tough hunt in changing weather conditions.It may take weeks to find and hunt a markhor.