Koine(?) Greek

All this talk of ConRomanceLangs has got me wanting to get back to work
on Judean.
Being in the Near East, Judea had much more influence from Hellenistic
International Greek (that's Koine, right?) than from Latin, up until the
point where the RL and Over There timelines diverge, of course.
So, Judean would have a lot of influence from Greek, specifically the
kind spoken in the Greek cities in JudeaEtc./Coelesyria/Palestine, and
probably the kind spoken in Alexandria and Syria/Lebanon, too.  So, does
anyone know where i could find information on the grammar, vocabulary,
and pronounciation of the kind of Greek spoken in that area from around
Alexander the Great until the fall of the Eastern Roman Empire?
Soundshifts would also be good, if anyone has an idea about those.

thanks!

-Stephen (Steg), plotting a horrible fate for whoever never returned his
university library's copy of that Latin to Romance in Sound Shifts book