@libstrong Yeah, our standard answer has been... get a DNA test to get a bit more certainty. But, who cares really. He is what he is. I love his doughnut bagel tail. He sounds like a fantastic doggie! Smart, affectionate, sticks with you on walks... sounds like an awesome little dude to me. Welcome to forum too!
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.
FYI, the marrow bones are OK for them to gnaw on, but after a while they will become more brittle and might break apart like one of those pics showed…but it will take a while, like a month or more. I give my dogs nothing but knucklebones or marrowbones-RAW- and they love it and as an added bonus one of my non-B's has gotten almost of his tartar build up off, and we have only been doing the RAW diet for a month...yeah. The vet wanted him to come in for some serious teeth cleaning with doggie valium and all that...not needed anymore.
Of course I love the pics...especially the one with the funny face, second from bottom..