While I applaud you for wanting to rescue this little Basenji, they are not doghouse kind of dogs. They want to be with their human pack as much as possible, and keep in mind that just because they are an African breed, this little girl may have been out of Africa's climate for many generations and may not fare well in intense heat. My black and white girl does not do well in our FLorida heat for example. She prefers the air-conditioned sun she lies in inside the house. Basenjis are escape artists as well, and she may be able to get out of your yard.
If you cannot keep this self-cleaning, low shedding dog in the house with you and you cannot locate the owner, Then Basenji Rescue and Transport is a good place to turn to find to find this little girl a loving home with Basenji saavy fosters and adopters. Best of luck to both of you.