Green’s Dictionary of Slang

n.c.a.a. phr.

[abbr. no class at all + a jibe at the sporting NCAA, National Collegiate Athletic Assoc.; pron. ‘NC double-A’ based on n.c. phr.2 ]

(US campus) said of a very boorish person.

[US]Eble Campus Sl. Spring 6: n.c.a.a. – no class at all!
[US]Eble Sl. and Sociability 37: Two kinds of shortening reduce words to letters. The dominant type in college slang is initialism, which names the individual letters: [...] NCAA (no class at all), pronounced NC Double A, an allusion to the acronym for the National Collegiate Athletic Association.