There is a large number of scholarly texts that deal with this period, or parts of it. Some good places to start (in alphabetical order only) would be:
- John Bright, A History of Israel (2nd ed; London: The Westminster Press, 1972);
Bright's book was hugely influential at the time, though be aware that
much of it has been since superceded, and is no longer considered an
accurate reflection of the present state of academic historical discourse.
- J. Maxwell Miller and John Hayes, A History of Ancient Israel and Judah (2nd ed; Louisville: Westminster John Knox Press, 2006);
Miller and Hayes' book is my personal favourite: an excellent
introduction to the field of ANE historiography, and a very readable
survey of what mainstream academics today believe about the land of
Israel in ancient times. Up to date.
- Iain Provan, V. Philips Long and Tremper Longman III, A Biblical History of Israel (Louisville: Westminster John Knox Press, 2003);
Depending on preference, you may either enjoy or be frustrated with
Provan, Long and Longman. They are so-called "maximalists" - desirous
to portray the narratives of the Bible as being historically true, to
the extent that they have each independantly been criticised at
different times by more 'mainstream' historians. Their book is,
however, up-to-date.
- Donald B. Redford, Egypt, Canaan and Israel and Ancient Times (Princeton: Princeton University Press, 1992);
Redford is an egyptologist and Egypt is the primary focus of this
text. That said, it has some excellent material on the Levant and is
hugely recommended.
- D. Winton Thomas (ed.), Archaeology and Old Testament Study (London: Oxford University Press, 1967);
This is very much out of date, so far as the basic historical
information is concerned, but it remains an excellent primer on the
nature of archaeology and what can be learned from it. If you are
interested in more background of that nature, without the focus on the
ANE, I recommend Colin Renfrew and Paul Bahn, Archaeology: Theories
Methods and Practice (3rd ed; London: Thames & Hudson, 2001).
- Marc Van De Mieroop, A History of the Ancient Near East ca. 3000-323 BC (Malden: Blackwell Publishing, 2004).
Most of the material within this text does not pertain to the Levant
(or "Syria-Palestine", as he describes it), but it is of inestimable
value for putting the Levant into its geo-political context. The same
author has A History of Ancient Egypt (2011), which is likewise
excellent.