Why would you us a bow? Range is poor, and lethality is also low, esp. with the access the the ultra-wealthy have to medicine. When you hunt deer with a bow, you can usually expect to have to follow a blood trail, as it's rarely an instant drop.

Use a .300 Winchester magnum from 1000 yards; at that distance, you still have about 850 foot-pounds of energy, which is roughly double a 9mm at point black range. With the right ammo, that's more than enough to get the job done. You probably want a combined mechanical and ammunition accuracy of about .5 MOA range though, so that you have deviation of less than 6" at that range. It's a challenging shot, but it's definitely doable if you know your holds and can call the wind.