Some folks can't stand to miss the unbearable cuteness of the puppy stage, and there are obviously wonderful breeders out there that can help you do that.
That being said, we recently rescued an almost-3-year-old basenji girl and we have never had a better experience with a dog. She is already house trained, and doesn't chew furniture or shoes - yes, she's really a purebred basenji :)! In terms of bonding, she has bonded instantly and completely with my husband and me (especially me, but then I'm the walker). She is just a joy.
There are threads on the forum too about a recent large rescue operation that I think includes some puppies, so if you prefer a youngster, rescue may still be an option.
No disrespect to any of the wonderful breeders who are so helpful on this forum, of course. It's just that the rescue basenjis who need homes are also wonderful dogs and it's heartbreaking to see how many there are in need.