I was in the same boat, i think this is the thread:
https://lebgeeks.com/forums/viewtopic.php?id=17768
Summary: You will not find a proper projector here in Lebanon. I ended up buying the Optoma gt1080 from souq Ksa.
I have seen the Benq HT1085ST and the Benq W1210ST in action. All 3 have proper input lag, i couldn't find the difference between my monitor and them. Benq has image shift, you can place it on the sides of your room and still get a picture in the middle, optoma does not.
Hope this helps, and they all will cost you somewhere between 700-900$. All models above have native 1920x1080 resolution.
