Green’s Dictionary of Slang

(US) stack- or high-heeled shoes.

1993		(con. 1976) G.P. Pelecanos Nick’s Trip 120: On his feet were the denim stack [...] a pair of shoes that he knew I had always wanted to own.
1997		(con. 1970s) G. Pelecanos King Suckerman (1998) 4: Cooper could see the four-inch heels on the boy’s stacks.
2012		Pelecanos (con. 1972) What It Was 8: He wore [...] two-tone Flagg Brothers stacks with three-inch heels.