This post may be old but I'll answer anyway! XD
Concerning what category Ethiopids fall under, they are Afro-Asiatic. But they are divided into two groups, with the first being the Semitic Habesha (e.g Amharic, Tigre, Tigray) and the other being the Hamitic Cushtic people (e.g Somali, Oromo, Afar).
Both groups are more related to people in Middle East and North Africa genetically and culturally than Niger-Congo/Bantu-like peoples unfortunately, so I hope the information I provided helps!