The Kennedy Center has a free show on a small stage at either end of the Grand Foyer, along the west side of the building, every day at 6:00 PM, and most of these are webcast and most of the webcasts are archived on the Center's web site.
The Suzanne Farrell Ballet is scheduled there on the 23rd, probably performing excerpts from their upcoming season at the Center, running November 6-10.
Technologically, they're amateur productions, done on a shoestring from the looks of it, not in an impressive studio, but sometimes very skillful nevertheless. And the dancing on the tiny stage can look held in, so these really are in the manner of a preview of the real thing, to come later in the Eisenhower Theater. But even so, for this old Balanchine addict, they're rewarding to see: Some of the most authentic, human Balanchine to be seen today.
(Getting the beginning of the live show can be tricky - something about refreshing the web page just when it begins - so if you're up for that, you might want to practice an evening before. I hope it will be archived, but as the list on the page linked above shows, not all of them are.)