I added many North African regional populations now. There isn't any commercial test who has them all.

Algeria
ALG_North-West
ALG_Algier
ALG_Kabylie
ALG_North-East
ALG Oase Berber (relevant for you)
ALG_Laghouat

Morocco
Moroccan Casablanca
Moroccan North
East Moroccan Berbers
South Morocco Berbers
Moroccan South

Tunisia
TUN_Tunis
TUIN_Sousse
TUN_Sfax
TUN_Gabes
Tunisian Berber Chenini
TUN_Bizerta
TUN_Siliana


Also there were added before Egyptian and Sudan Copts. I have also Cirenaica Libyans and Saharawi from Western Sahara.