I've only survived Basenji puppyhood once, and that was 8 years ago….
At the time, I crated Jibini at night and put his crate beside my bed. He slept through the night from the very beginning (9 weeks old) and woke me up at about 6 am every night like clockwork- no potty in crate.
At the time, I was already a member of the Basenji-L chat list, and I distinctly remember quite a few people saying they let their young Basenji puppies sleep IN THE BED with them overnight....some long-time folks saying they'd done this with ALL their puppies. No accidents- pups sleep soundly, wake up around dawn and get taken outside.
Of course I had no Basenji frame-of-reference, I was still thinking on a "normal dog" level, and I was thinking, "NO WAY! Not possible! I'm not waking up to a piddle puddle on MY sheets!" (Not to mention I'm a hard sleeper & there's no guarantee I'll wake up when the puppy does....)
Still, for everything else that was challenging about raising a Basenji puppy, housebreaking was a breeze. Jibini came from the breeder "paper-trained" which helped save my carpets, and the transition to outdoors was very easy. I have read that some breeders have female dogs who will actually HOUSEBREAK THEIR OWN PUPPIES by leading them outside for potty breaks once they're able to walk. And as a result 8-9 week old pups go to their new homes already understanding what to do. You don't see this in many other breeds. Now I actually BELIEVE a young pup could sleep in my bed through the night without a problem. :)
Jibini & Tana