I would use an American outfitter. I used Atcheson's. I would also go to RSA for plains game on the first trip, then Zim for buffalo.
On my RSA trip I took kudu, gemsbok, zebra, warthog, blesbok, impala (2) and wildebeeste in seven days of actual hunting. The cost, including air fare, was less than a guided elk hunt out west.
My primary objective in Zim was a bull elephant. That was the first animal I got in Zim. Then I took buffalo, hippo, and a 14 foot croc.
My next trip to Zim resulted in taking lion, bull elephant, buffalo, hippo, zebra, and several impala (bait for leopard but we didn't get a leopard).
Whatever you do, you will have a memorable experience. But an African trip may ruin the joy of deer hunting for you.
