The standard histories of Israel include extensive sections dealing with Exilic Israel.
Provan/Long/Longman is probably the best history of Israel in one volume. The new
Dictionary of the Old Testament Historical Books is also an outstanding and up to date resource (it also includes a complete history of Israel and has thirty humongous-sized pages dealing with the history of the Exile). Other than that, I would recommend buying excellent commentaries on the Exilic prophets. My recommendations are
here and
here.