Green’s Dictionary of Slang

(US black) a rebellious black man, who refuses to abide by white society’s rules and struggles against them.

1967		A. Baraka Tales (1969) 80: Then the knives came out, the razors, all the Biggers who would not be bent, counterattacked.
1984		G. Tate ‘Stagolee Versus the Proper Negro’ in Flyboy in the Buttermilk (1992) 49: Super-blacks, Biggers so baad thay can’t help but outshine (no pun intended) the honkie competition.
1994		C. Major Juba to Jive 35: Bigger Thomas n. (1960s) ‘bad nigger’ [...] The reference became briefly popular among black students on the east coast [...] Example: ‘The dude pulled a Bigger Thomas, smashing all the furniture, and got away with it’.