Another possibility might be Rat Terrier. They do come in brindle, although that colour is out of favour. There is one in my neighbourhood that has a bit of a Basenji look to him, and his tail is very short.......not sure if it's natural or docked.
This is the actual series of photos leading up to the one I originally posted
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I've heard from dans ex once. she sent me a message on myspace.. but we have seen her a few times (dan and her were both in a wedding party last weekend) so we saw each other more than once last weekend and she didnt even say anything… in the message she said maggie was like her child.. and i wanted to tell her i feel sorry for her future children then..