We stayed in an AKV GV last November. We booked it at 6.5 months out, 2 weeks inside of the 7 month booking opening. I was shocked to find that the Kidani GV was available for 8 consecutive nights, the Jambo one was available for 6. I wanted Jambo b/c we wanted 1 floor for my father in law who was coming off knee surgery, but the CM was confused and told me the Kidani GV's were 1 floor. I was new and trusted her, and booked it. About a month later somebody posted a TR with pics of the Kidani GV and my heart stopped b/c realized I had been given bad info by member services. When I called back the Jambo GV was booked.
Ultimately it worked out. My inlaws decided to come for the 2nd part of the trip when we were switching to BCV. We had 10 in the GV and it was not crowded. They are HUGE! Just beg, borrow and beg some more to be as close as possible to the lobby b/c we were in the 2nd to last building and was really a downer to have to do all that walking with 10 people, 5 kids, 3 strollers....etc...
To answer your original question, I would be shocked if you can't get one for January.
Good luck!