Thank you all so much for your responses! I appreciate it so much! I'm definitely going to do a DNA test on her.
Does anyone recommend a specific brand of DNA test?

This one was when she was a puppy

https://ibb.co/qMSnY5H

Thank you for taking the time to explain this all to me. I really appreciate it! Here a side view just taken. Her ears aren't sticking straight up in these

https://ibb.co/W2mKz6H

https://ibb.co/w4gsSBN

When we rescued this baby, we were told she was a dachshund/Chihuahua mix... Obviously, this is not the case.
She is now almost 4 yrs old and weighs 32lbs.
She runs so unbelievably fast.
Doesn't shed, basically bald on her belly/chest.
She's so stinking smart.
Cleans herself every morning and evening, especially legs/paws/face.
She has this silly high pitched bark/howl.
She is an absolute hunter. We have lots of bunnies in our area, when hunting them, she'll either get low to the ground and stalk like a lion, or stand motionless pointing in the direction of the animal with one paw up.
Her tail is like a hook when hunting or focusing on something.
I really think she has a good amount if Basenji in her, probably mixed with some kind of terrier like rat, Boston or jack Russell.

What do you all think?
Does she have Basenji in her?

https://ibb.co/J7wVYBt

https://ibb.co/PmkN9yd

https://ibb.co/k9JYzSS

https://ibb.co/8cRj7v7