I would first check with the laws regarding action types in the country you intend to hunt. I think Lever actions are allowed in most but I have never had a hunter bring one. Some countries will not allow Pump rifles or shotguns so there may be issues with Lever actions as well? I know several guys hunting in RSA that have used Lever Actions so I know they are allowed in our country for visiting hunters to use.
The lever action is not a good idea in Namiba or the RSA's eastern cape, or free state where 300 yards shots can be common. I don't know of anyone using the lever action design for those long range shots. In the Bush of the Nothern Province it is a fine rifle with shots being typically under 150 yards or so. If you have a bigger then 30 caliber cartridge in mind which will shoot well for you to 150 yards that would be fine. I get most of my clients shots at 100 yards or so on average. The key is getting on target quick and making a good quick first shot. The bush animals don't give you much time to aim and locate a nice solid rest to shoot from.
My preference is for scope sighted bolt action rifles. However I have had plenty of guys with Archery, Muzzle loaders, crossbows, and handguns. I don't personally care what weapon a fella wants to hunt with. Ideal is a bigger then 30 caliber bullet that shoots well for the hunter to 150 yards. That's my opinion on what works for plains game only. If you're interested in bigger stuff then we need to talk more about it.