We ran it years ago over New Year's week in our canoes. Got a great shuttle in Terlingua. Put in at Lajitas and did Santa Elena Canyon. Camped out two nights - one right before entering the canyon (about 10 miles downstream from Lajitas), and one deep in Santa Elena at Fern Canyon. You don't need a ton of water to run. The shuttle folks in Terlingua can give you the beta when you contact them. Landslide Rapid can be tricky, but at winter flows, quite passable. They gave us a map to navigate the maze of that rapid.
We also did a day just above lajitas and the Park on a State land stretch ( I think it was called Colorado Canyon) that was fun for a day trip.
This was before 9/11, however, and I wonder what that might have done to change access, etc. They can tell you down there when you inquire. Good luck. Amazing stretch. Parts of the deepest canyon do not get sunlight at all that time of year.