There are some blogs out there specifically for the study of the ancient near east that offer some really interesting posts that connect recent archaeological finds with the Bible. One of my favorites is Dr. Claude Mariottini’s blog aptly titled “Dr. Claude Mariottini – Professor of the Old Testament“.
Some of his recent posts include:
The largest known statue of Ramses II discovered (presumably the Pharoah of the exodus)
If you are into the biblical archaeology sort of thing you might want to think about subscribing to Dr. Mariottini’s blog. Another blog you might like, but is often a little more technical is Paleojudaica.
Here are some books you also might find particularly helpful:
Backgrounds of Early Christianity by Everett Fergusson
Manners and Customs in Bible times by Victor Matthews
The Dead Sea Scrolls Today by James Vanderkam
The World of the New Testament by Abraham Mahlerbe
New Testament Background: Selected Documents by C.K. Barrett (provides examples of ancient letters similar to new testament epistolary form, etc)
Letter Writing in Greco-Roman Antiquity by Stowers
Archaeology of the Bible: Book by Book by Cornfield and David Noel Freedman
Herod King of the Jews and Friend of the Romans by Peter Richardson
Jesus and the Forgotten City: New Light on Sepphoris and the Urban World of Jesus by Richard Batey
The New Testament in Its Social Environment by Stambaugh and Balch