Jamieson, Fausset and Brown on Zechariah 5:11

11. To build ... house in ... Shinar--Babylonia (Ge 10:10), the capital of the God-opposed world kingdoms, and so representing in general the seat of irreligion. As the "building of houses" in Babylon (Jr 29:5, 28) by the Jews themselves expressed their long exile there, so the building of an house for "wickedness" there implies its permanent stay.

set ... upon her own base--fixed there as in its proper place. "Wickedness" being cast out of Judah, shall for ever dwell with the antichristian apostates (of whom Babylon is the type), who shall reap the fruit of it, which they deserve.