Green’s Dictionary of Slang

(US) an upwardly mobile black achiever, usu. from the black middle class.

1992		N. George ‘Introduction’ in Buppies, B-Boys, Baps and Bohos (1994) 2: The Black American princess a/k/a Bap, who, whether by family heritage or personal will, enjoys an expectation of mainstream success and acceptance that borders on arrogance.
2002		‘Touré’ Portable Promised Land (ms.) 151: We Words (My Favorite Things) [...] Buppie. Bougie. BAP. Boho. Big Baller. Bougie. Bamma.
2006		www.imdb.com 🌐 Two tacky homegirls move to L.A. to become dancers; instead they scam a dying millionaire but learn to become B*A*P*s Black American Princesses.