Green’s Dictionary of Slang

(US) to saunter, to move in a friendly fashion, to mix with.

1932		T.S. Stribling Store 16: It’s social suicide even to vote the Republican ticket here in Florence, much less bobbashiely with niggers! [DARE].
1962		W. Faulkner Reivers 177: You and Sweet Thing bobbasheely on back to the hotel now, and me and Uncle Remus and Lord Fauntleroy will mosey along.