They don't have to go from country to country.
They can just pick a country, work with the government and set up relations with them.
I suggest a "stable", English speaking nation like Nigeria, and see civilizations like Benin City, Yoruba, Igbo, etc. But their is risks involved of course. If tourists and Chinese investors can get in safely, then a film-trip of American black kids can too. They just have to stay away from the Delta region lol.
I am aware that Africa and Africans are genetically the most diverse people in the world. But that shouldn't stop us from setting up relations with them. A program like this could set up for future relations with that country. It could restart a pan-African movement or something. You say Jews are linked by religion, well, they are also a diverse people, and they come from N. Africa, Germany, Russia, Spain, etc. Most American blacks are Christians, and so is Southern Nigeria. We are both English speaking people as well. This could open a lot of doors if we play our cards right.