Dogs who are damaged are IMO given 2 options. YOU as the person who is responsible for the dog, be it fostering, or having this dog in a foster, keep the dog until it dies, or you put it down.
NOT making a hard decision, to kill the dog, will give rise to all sorts of issues, including humans and animals being hurt, or the dog, who is damaged, suffering even more with folks who think they can "break" it to their will.
Jason, there are suggestions for basenji eval in the BRAT site. I believe you have access to this. If not, I will send it to you.
Fostering is the idea place to see if a b can be rehomed, but sadly, now, we are short of foster homes, and sometimes a b goes from a home to a kennel…that is very tough on the dog.