This year, there were
plenty of 2BR sightings with check-in on Aug 22, 23, 24, 29, 31. But you may consider those the 4th week of Sept and later rather than the 3rd week.

However, there were
so many studio and 1BR check-ins on Aug 1, 2, 3, 8, 9, 10, 16, 17 that my guess is that there were also 2BRs available but they were snagged by ongoing searches.
In the southeast, schools often start their school year by mid-August. NC has moved to Aug 25th or later but the mountain areas still start sooner due to needing "snow/ice" days. So school by the 2nd or 3rd week of August is still typical here, as it is in TN, SC, GA, AL, MS & FL (Orlando started on the 18th this year). So there's considerably less demand for the 3rd week of August than for early Aug or July.
DVC 2BRs seem to get deposited right up until ~3 mo ahead in quieter times like this. So I'm adding my agreement to the suggestion that you enter an ongoing search and wait, with a pretty good chance of a match :whoopie: , assuming your deposit has the quality rating that II requires for it.