Hi there! I'm glad you were able to get back onto the forum; there are a couple of people listed on this string that are willing to offer a home to your girl. Hopefully, things will work out as they should, and you can find someone that is basenji-savvy. You are right that the situation you describe isn't ideal for her.
Many people balk at the idea of "giving" their dogs to BRAT, but please consider that as a choice if the leads on here don't pan out. First, BRAT will make sure that Sequoia is fixed, so she won't end up in a puppy mill scenario. If you haven't tested her for Fanconi syndrome, they will, so that her next home will know if she will need special care as she gets older. Sadly, there are several postings on Craig's Lists right now for older dogs, that may/may not have Fanconi, which may be attributing to sudden accidents for older dogs.:(
Based on Sequoia's disposition, BRAT volunteers will seek out her "forever" home. Many people on Craig's List are enchanted by the cute curly tail or the wrinkled brow, but they don't understand the breed. They don't understand how smart the dogs are, and may think they are mischievious (versus curious). :rolleyes:They may not want a dog that intends to sleep under your covers, or to take any opportunity to chase a squirrel or rabbit. They may become fed up when they constantly come home to garbage cans that have been cleaned for you, in basenji fashion. 
In frustration, they may give up on Sequoia and post her on Craig's List 3-4 months later . I'm not saying this to criticise all Craig's List adoptions, because I've actually done three of them, but I'm painting a worse case scenario.
BRAT will make sure this doesn't become Sequoia's future. They will screen her future home, to include a home visit. 
They'll make sure that she will be in a safe environment (i.e. not on a busy street with no fence), and that the people/other animals are a good fit for your girl. And before everything is finalized, they will make the people commit to keeping her forever, and it's in writing. (If someone would want to get rid of her, she would have to go back to BRAT for re-homing.) If you don't have the time to screen out Sequoia's next home, I promise the BRAT will stand behind your girl and treat her like she's a princess.
Anyway, I'm not a BRAT volunteer, but I am a basenji lover. :p I hope that you find what's best for Sequoia. 
D
