@cathyroy I am not sure what Natasha is doing, if busy or whatever with the holidays. You may be what she wants, but she's got company or otherwise tied up. She did say maybe set up a trial, so give it a few days before getting upset.
However, I will make a few observations about the fit.
you have small children you say are good with animals, but you don't have one, so how do you know how they will be with one actually living with you? your interest in a basenji is based on their lack of significant shedding. This is not the breed for a family with young children who have little or no experience with dogs. Your husband presumably works, so the dog will mostly be with you and your children. you are wanting to ADD a dog to your family. She isn't looking to give the dog away.Just as you would be careful of who you have babysit your children, she hopefully wants a suitable fit for her dog. For me, that would be someone experienced in the breed or at least a lot of experience with a variety of dogs and is interested in fostering, not taking, my dog. It isn't an easy decision either for her or for someone agreeing to keep her dog.