Green’s Dictionary of Slang

1. (US tramp) a jail where a tramp lives during the cold winter months.

1930		‘Dean Stiff’ Milk and Honey Route 48: A boodle is a jail where the hobo can stack up for the winter.
1960, 1975		Wentworth & Flexner DAS.

2. attrib. use of sense 1.

1930

‘Dean Stiff’ Milk and Honey Route 53: The trouble is that many of the coats, suits and hats they get are so much out of style that not even the boodle bums and speakeasy tramps would wear them.