Well, since no one else has given this a shot, I'll throw my 2 cents in. I have not read any of the books that I'm about to list, so I'm going only by their titles and descriptions/reviews that I've read on Amazon.com. I'm throwing the names out there mostly as leads, which you could follow up on and see if they are close to what you're after.
- The Eastern Christian Churches: A Brief Survey, by Ronald G Roberson
- Timeline of Eastern Church History, by Kathryn Tsai
- The Arab Christian: A History in the Middle East, by Kenneth Cragg
- A History of Christianity in Asia: Beginnings to 1500, by Samuel Hugh Moffett
- Christians in the Arab East: A Political Study, by Robert B. Betts