Hey Cosmo, I had to chime in here becuase the way you describe your situation sounds exactly like mine when I got my first B. I was 28, lived alone, did the typical 9-5, lived in a condo w/ no yard AND had a dog growing up that was not exactly "mine" to take care of.
My first B (I have 2 now) was a 2 year old female, and after some initial adjustments to my home, i.e… destroying the crate she was in while I was gone at work, she was just fine and dandy. I think it was more a matter of being in a new home, without her former pack. I had a lot to learn about caring for dogs in general, and the special requirements of Basenjis in particular. But really, it was all worth it and i ended up getting another B about a year later. This time a 14 week old male puppy! Puppies are a lot of work, particularly since I lived alone, I would actually drive home from work in the middle of the day to check on them (40 minutes each way) and multiple trips out to potty in the middle of the night.
Looking back, I'm kind of glad my first B was not a puppy, although lots of people do it, I think it was easier for me to adjust - with all of the main concerns already taken care of - she was potty trained, was not a big chewer (although that is probably just a trait of hers, I think some B's never outgrow the chewing stage), and already trained to walk on leash.
There are others on here that can probably answer better your question about cost. I can tell you I got my 2 year old female for $400 and she was already spayed. I got the 14 week old puppy for $600... and then had to do the remainder of the puppy shots. From what I've seen on here, that may be a little on the low side, but it was the first litter for my breeders puppy... she may have been trying to feel out the pricing situation...
Good luck! Basenjis are great, but they can certainly be a handful...