Green’s Dictionary of Slang

(US) drunk.

1908		H. Green Maison De Shine 206: The impression’d git under his skin, even if he was a little bunned.
1919		O.O. McIntyre New York Day by Day 22 Mar. [synd. col.] Between the cereal and the wheat cakes the buoyantly bunned guests danced.
1922		E.E. Cummings Enormous Room (1928) 177: They were all individually intoxicated. Celina was joyously tight. Renée was stiffly bunnied [sic]. Lena was raucously pickled. Lily, floundering and staggering and tumbling and whirling, was utterly soused.
1928		M. Prenner ‘Sl. Synonyms for ‘Drunk’’ in AS IV:2 102: basted, blind, blotto, boiled, boozed, bunned.
1939		Howsley Argot: Dict. of Und. Sl.