Not a book but otherwise fits exactly what you ask: R Amnon Bazak has a series of written shiurim on Tanakh and Archaeology in English, see shiurim 6a to 6i.
He offers a fairly comprehensive review of the archaeological record in regard to Tanakh. He states there is no archaeological evidence that contradicts the Torah - actually he writes there are many findings that do conform to the biblical narratives from the times of the forefathers and indicate that these narratives were indeed written with a profound familiarity with the period. He notes the same same regarding the era of enslavement and subsequent exodus from Egypt.
(from p. 102-103 in Reason to believe by R Chaim Jachter)
As a followup, I have now read Excavating the Bible: New Archaeological Evidence for the Historical Reliability of Scripture by Yitzhak Meitlis. The author is a religious Jew (and has a personal approbation from R Pinchas Stolper). The book focuses on retracing the Tanakh through excavations of the Judean Hills and Jerusalem. I found it enjoyable to read and it connects nicely the biblical text with the reality of excavations.
He leads the reader on a lively exploration of the ancient cities of
the Judean Hills, and the birth of an Israelite nation and the
people’s challenge to remaining a people committed to God as described
in the Prophets and later Writings. The journey culminates in
Jerusalem, where the reader watches the rise and fall of one
civilization after another; views the audacious exploits that
delivered the city into the hands of David; pictures its glory at the
height of its power; and watches in horror as it meets its fiery end.