None of my (many) Basenjis over the years has ever been left alone for more than 4 hours. And no - none of them has ever been crated when left.
Of course I only had just one for four days back in 1981 before we got the second puppy from VTW, two, then three, four, five, six, seven and eight. Before dropping back to six, up again to seven and gradually lowering the pack size to the current two.
I don't believe in crating except in the car - Their activities are restricted to a large farmhouse kitchen with a saloon type half door separating them from the rest of the house unless invited through to sit on laps and watch TV in the evenings. The kitchen is kept tidy (as Redial says !) and I have to take care there is nothing they can snatch and shred.
Get a companion for the Basenji - another Basenji, perhaps.