Green’s Dictionary of Slang

(US) male genitals that have had all the hair shaved off.

1987		in Murray & Murrell Lang. Sadomasochism (1989) 35: Expert in penis torture, bald eagles my specialty.
2012		T. Robinson ‘Biggest Dick in Brooklyn’ in Dirty Words [ebook] ‘Why the fuck don’t he have no pubes? [...] Tell Bald Eagle to beat it’.