brothel stompers, n. — Green’s Dictionary of Slang

brothel stompers n.

[var. on brothel creepers n., although these ‘respectable’ versions have no great thickness of sole]

(US campus) suede shoes.

1981		News-Jrnl (Mansfield, OH) 1 Feb. 1E/2: I bought a pair of Hush Puppies over Christmas, only to have The Book tell me they are called ‘brothel stompers’ (because they are suede) and I really should have invested in a pair of Sperry Top-siders anyway.
1993–2002		Probert Encyc. 🌐 Brothel Stompers is American slang for shoes with thick crepe soles.