Handgun Hunting Discussion

I’m looking at putting a XP together for a longer range gun for African game. I’m wanting 200gr. of bullet minimum, and 2300fps as a minimum. I’m looking at going with a 350rm, 358win, or something in that class of performance range. 200-250 yards is likely my max distance, but having more would be ok. My current 7-08 is plenty accurate out to 400 and works well for medium game. But I’d prefer more bullet for larger plains game, no dangerous game. So elk/moose suitable rounds should work. Something based on a 284win. case would work as well and allow me to stay with a non-magnum bolt face. So 338/284, 35/284, or 9.3/284, anyone having data or ballistics for those rounds speak up please.