I'd never looked closely at it before, but since it's
available, I'll read that version now (but I'm really curious about this mentioned draft that had no Borg Queen at all).
You'll be disappointed to know that Cochrane spends most of the movie unconscious and only has about three lines, where he gives Picard his blessing to do the first warp flight without him, and then has to be pumped up by Picard to take the credit at the end when the Vulcans arrive. The only plotline in this draft that isn't radically different in the film is Data's capture and seduction by the Borg Queen. Lily (still called "Ruby") is a photographer, not Cochrane's right-hand person, the ground plot centers a lot on Mad Max politicking in the shantytown, and saying "Riker stays on the ship instead of Picard" is a bit of a misleading; it's actually Worf who it the main character of that plotline, with Riker staying on the bridge as "the guy in the chair." Riker even gets to be the one who gets space-sick doing the EVA. A few stray lines survived here and there (outside of Data's scenes with the Queen), but they ended up in the mouths of different characters.
On the other hand, Data's plot being totally siloed off from Picard (and any other characters) makes it a lot easier to imagine a Queenless version of the story, though now I'm wondering what Data would've been doing in that one and how the Borg would've been ultimately defeated on the ship. Maybe he would've had Worf's role leading the counter-attacks on board?