Get the word out about the show by sending an announcement/press release with a short preview that could be reposted to the the legit coverage sources in New York and elsewhere. That would include New York Times arts blog, BroadwayStars.com (which uses clips), Playbill.com, theatermania.com, Peter Filichia in New York, plus Washington Post, Boston places, Toronto, Chicago and L.A. Even Michael Riedel.
Checking out the people whose articles are gathered and reposted at BroadwayStars.com would be a good place to start.
Given the fact that you've got stars will make many of them want to pick it up. But not just the announcement but also an update before there's a new episode. I seem to recall when the [title of show] people did a web series for awhile, they got fairly regular mentions whenever there was a new episode.