I went to the National Air & Space Museum's Udvar-Hazy Center's Open House today (the second occurrence of an annual event), and got to see the original 11ft studio model of the Enterprise sitting right in front of me in the Conservation lab, not even in a glass case. Talked a little bit with the head conservator who's working on it, and then heard a talk from the curator who pushed for it to make it into the renovated main entrance gallery in DC in the next few years.

Click here to see my photos & notes.

Other notes:

Yes it looks green
No that's not because of decay or repaints
The paint on the top of the saucer is definitely the original paint
The Enterprise is green
They still don't know if they're going to illuminate it. The original lights are gone, currently has 90s lights, but do they really want to rip out the innards again? Very tough decision.