The Second Revised Final Draft script for "The Doomsday Machine" dated June 14, 1967 has the following...
Hey, Greg, one other thing: Can you quote how the script describes the Constellation? I doubt it refers to a registry number, but I'd be curious to read what the script says about it.
There's not much there there we don't already know.
"Scene 8 INT. ENTERPRISE BRIDGE - ON VIEWSCREEN
SHOOTING PAST Sulu on the left, holding part of naviga-
tor in the right. Showing an Enterprise-class starship
seen small at first, but growing in perspective as the
Enterprise approaches it, till it fills most of the
viewscreen. We see that it is the Constellation, sitting
dead in space, with several large, neat holes punched in
the warp-drive pods, obviously a derelict, She is canted
at an odd angle and looks somehow grotesque in her help-
lessness."
Other scenes have even less content. Here's Scene 11, when we return from the opening credits:
"FADE IN:
Scene 11 EXT. SPACE - FULL SHOT - CONSTELLATION
The wrecked Constellation floating dead in space, canted
to one side; the holes in the power nacelles are clearly
visible."
So it looks like the took an "Enterprise-class" starship model and poked some large holes in it and made it look obviously derelict. And script-wise, that's about all they had to work with.