Check the Basenji Club of Canada and Basenji Club of America websites.
Many breeders will have listed their fall breedings [this is my assumption, as mine have been there for months] on their own websites.

Do you also have children or just the dogs? 4 dogs does not sound chaotic at all to me… but I have two middle-school kids and their plethora of friends over here daily... plus my not-small-enough gaggle of dogs. Chaos is a given living [or visiting] in my house!