There are two things going on with a
DVC rental. The first is availability at the DVC resort. The second if finding an owner with enough points that is working with the broker. I just took a peek at the end of January at BWV and availability in a studio is spotty. There's some availability in a Garden View for 2 days, then a gap, 5 days and then there's another gap and then there is more availability through the end of the month. Those missing days may pop up but you never really know when that'll happen. Now, an owner can put themselves on a waitlist for those missing I'm not sure if the broker works with people who are willing to waitlist for those missing days. There may be some movement at the 7-month booking window as BWV owners change to another resort, but BWV is also very popular and other DVC owners will be wanting to book there too.
Unfortunately, there is really no answer on when or even if a week will come available for you. I will tell you that the very last few days January through February looks open now if you're willing to slide your vacation a bit but your broker would need to find a BWV owner to book it for you. FWIW, they have access to the same information I can see.