Edit: Though I guess I should note that Matt Berry doesn't show up until I think the second season, or maybe the very end of the first. Still, it's worth it all the way through
Haven't read much beyond that, so I'm not sure how "Trek" it'll be. That episode ends with them escaping to the online game with the Star Trek Space Fleet mods removed. Still, there's plenty of potential and there aren't really any bad episodes of Black Mirror.
Spoiler
Hopefully Jimmi Simpson isn't still burning alive in the plasma conduits 😬