I like your plan but would tweak it a bit. Go see the migration with the other tourists and fill your heart mind, soul and a photo book with memories. Then go visit Vic falls on your way to South Africa or namibia. Find a ph that will help you shoot cool guinees and francolin and doves and sand grouse and such and while you are staying in that ph camp, eat what he offers in addition to your birds. Try the local beverages, they will have a good selection. Tell them you want to eat kudu or eland or zebra or whatever and enjoy the atmosphere and the nightly campfire. Rent a gun from that ph. They might even be able to conjure up a couple days wherein you could hunt a warthog or impala, blesbok or somethin. More photos. There are many ph’s that could handle this easily. Times of the year might be tricky, matching up the birds and the migration. Visiting multiple countries once you are on the continent is not so hard and the expense of travel is the airfare over the ocean getting there and back.
Pm me if you want some names for ph’s that hunt birds, I have several names selected. But for giggles reach out to Henry griffiths safaris who is a sponsor on here and just ask if and what he could do for you. That’s just one example of many available.
No meat goes to waste in Africa!