Good luck with your Basenji, they are one of my favorite breeds, and also one of the primative breeds, which can make them hard to understand and live with. Great dogs but they are not for everyone.
I'm sure there are plunty of people and basenji rescues out there willing to work with this dog, so if things don't work out for you guys, please get him into a good basenji specific rescue. There is a high chance that your local shelter/humane society will simply put him to sleep since he has a record of biting.

If you need any more help training him, or placing him let me know.