I am primarily a "meat " hunter, too, so I understand your position. That being said, I've been blessed with opportunities to hunt Africa, twice to South Africa for plains game and once in Zimbabwe for Cape buffalo and plains game.
Hunting in South Africa is done almost entirely on huge ranches that were formerly cattle and/or sheep ranches. Most land owners realized it is easier and more profitable to grow Africa game animals on the land and harvest those animals through hunting by foreign hunters and culling by staff. The animals harvested by sport hunters are skinned to the hunter's direction for preservation of the trophy. The animals are then gutted and placed in walk in coolers for cooling and then divided up for serving to the hunters, consumption by the staff and the remainder is sold to butchers for sale on the open market. A lot of the meat sold to the butchers is made into "biltong", the African jerky which, by the way, is far superior to the junk we eat. I should also mention here that the entrails (guts) are also eaten by the camp staff.
Zimbabwe is a different situation. There are large areas of communal land now that the large ranches and farms of white farmers have been seized and turned over to the indigenous people. Poaching is rampant in many of those areas but those that are established for wild game hunting protect the wildlife from poachers and the game flourishes. Hunting in this area is usually only done by foreign sport hunters with little need to cull animals since natural predators like lion, hyena, wild dogs and leopard do well with that. The animals that are shot by sportsmen are handled extremely well, the trophies removed and the animal butchered for the camp meat and divided up for the local community who also get a portion of the trophy fees. Staff in camps can number in the teens to twenties in number and they love protein. Here again the entrails are also consumed including lungs, stomach, intestines, and all else.
If you hunt in Africa, you will eat your game. I've eaten wildebeest lasagna, blesbok sausage, eland steaks, and much much more. We ate game at every meal, it was always excellent. And the African game I've eaten has been far superior to any game I've eaten in the western hemisphere and I've had some pretty excellent calf moose and elk.
Hunting in Africa is about the incredible adventure of seeing a land very far away, cultures you can't imagine. It's about broadening one's life through meeting people who see things differently, people who struggle to put a little food in front of their families each day and who go out and work their butts off for the hunter because that is their job. It's about incredible beauty of the land and the wonderful and huge variety of animals there, both game and non-game. It is also about danger, there are some really huge animals like elephant or Cape buff that will stomp a person into a bloody spot in the dust if one isn't very careful.
Don't worry about the meat, it will be consumed. Worry about not seeing a much bigger world.