We are thinking Spike might be a Basenji Terrier mix. He definitely has the basenji personality and the bark. We love him no matter what he is but we are curious.
OMG soooo cute. Her colouring and face don't look like a basenji, but maybe she's mixed with something with stronger genes. Do a DNA test. That would be fun!
The traits you described are also found in most of the Nordic/spitz type dogs. I don't see anything overly basenji-ish about him in the pics. What ever he is, he's very hansome.