I second the notion that a puppy might not be the right fit. There are many mature ones out there that need homes, and would (hopefully!) be less of a hassle, although some Basenjis never seem to outgrow the "puppy" stage! :)
BRAT is a good site to start your research, perhaps right here:
http://www.basenjirescue.org/REALITY%20STORIES/default.htm