Welcome to the board. I hope that you check around and maybe find other basenji owners near you that you can go meet, be around and get a feel for. Obviously I wouldn't be here if I didn't love the breed, but we are all crazy. They are not the easiest dog to own and it helps if you get as much exposure as possible before getting one.
I assumed that, because I was about 45, had owned dogs, bred rottweilers, been doing rescue for over 20 years, that I wouldn't have much to learn when we got our first basenji. The breeder told me that the pick, which I was supposed to get for my daughter to show, was far too much-- that she needed to be responsible and keep her there. I laughed, told her did she not remember I had Rottweilers, chow rescues, did rehab for aggression? I said something like, "how hard could a 25 pound dog be?" So she sent her. I suspect the breeder goes to bed laughing every night. I have never loved a dog as much in my life. But man, what a wake up! All my life, I'd never had a dog that, as a puppy when biting, responded to an ouch with "KEWL! I can make it make noise... let's do it again!"
Same sex aggression is fairly common, opposite sex aggression is far from uncommon. You need a breeder who knows their line, has a good handle on their dogs behaviors.
Wonderful article by Vickie Perrine. Obviously not all dogs fit ... my first and 3rd basenjis were not destructive after puppyhood. My second climbed a book case to get my shoes. None of mine have climbed the chain link fence, but I was ready to install inward leaning tops and electric wire if they did. Knowing what to expect will help.
http://basenji.20m.com/ReasonsNottoGet.htm
One of my favorite pages of quotes about basenjis (and yes the chow/rottie owner quote is about me)
http://indiannationsbasenjiclub.com/index.php?p=1_3_About-Basenjis
"Are basenjis intelligent? Yes, but not in the way you might first think. If basenjis were high school students, they would not be the brainiacs who score high enough on their SATs to go to Harvard on a full scholarship. No, basenjis would be the hoodlums with the smarts to bypass security, break into the principal's office, steal a copy of the test, and sell it for cigarette money." ~ Robin Simmons<<