It seems like you're at the same point I was at when I brought our "doodle" home. I needed a smaller dog, but not "too small", that I would get me out of the house (daily walks) and join me on occasional travels out of town. A companion pet. I ended up with the perfect dog for me. An "adult" dog that was already housebroken and young enough for a decade or more of love and friendship. her!
But... back to you.
... taking a Basenji to work (yikes) could go wrong very fast. Basenji's tend to become rather "destructive" when they are bored or feel like you are not giving them what they need. It could work... just plan on a reaaalllllyyyyyy long walk before you sit down at your desk. And make sure to provide a toy or two for after they wake up from the walk enducing nap.
... low shedder? Well, my Basenji sheds. Quite a bit actually. Possibly because I'm geographically in a Southern State (NC, USA), but still. She sheds. Her "fur" is extremely fine, and she's a red&white, so it's barely noticable. Until I get up out of the "lotus position" and happen to pass a mirror. It's a great reminder to vacuum!
... no odor? I don't know.... every once in a while, "doodle" will smell of Fritos. ah! I love it! You, however, might not. And,
... allergy issues? Perhaps you could take the family member with you before you pick up your dog and see if playing (with a Basenji) results in any allergic reactions for them. I've heard that Poodles are allergy-free, and Spanish Waterdogs(?), but I don't think Basenji's are in that category. Personally, I would do a test run just to be sure.
I'm not trying to discourage you. Bringing "doodle" into our family has been one of the most positive experiences in my life. It is, however, always good to know what you are getting into.