I wouldn't hold my breath about the theatrical screenings of the TNG episodes. We most certainly would have heard about something by now, such a fact would likely be used to try and draw people in.
Indeed, I suspect that when the trailer is finally released we're likely going to have trailers for the trailer during the preceding week, just like Prometheus and Spider-Man.
The days of surprise are behind us. Trailers don't come out of the blue anymore, they are announced prior to the audience seeing them. Even Abrams and his Cohorts follow this. Hell, one of the Cohorts worked on Prometheus, which had trailers for the trailer.