You’re absolutely correct about the unfortunate lack of more specific names. My father is a big fan of African drumming music, specifically Ghanian and South African. His local record store, however, puts it all under the label “world music” with no sorting by continent, country, or tradition.
Looking into it a little more, I was able to discover that Nameless is considered part of the Kenyan hip hop scence. So it turns out there is a more specific label in this case. Wikipedia lists Necessary Noize, Redsan, Nonini, Wawesh, and E-Sir as other artists working in the genre.