Some things cannot be fixed. I urge you to get a qualified behaviorist (veterinary) to evaluate him. If he is truly unstable, rehoming him is not fair to him or the new home.
I wish I could take credit for this post, but it's just information that BRAT shares with folks who are either fostering or adoption a basenji.
BRAT really does try to cover the bases with inof re new dogs and owners.