Don't know who your pup's breeder is, but I have never seen a Basenji "mellow" until 5 or 6yrs!!! and the minute you think they are perfect little angels… they take that opportunity to prove and show you they are NOT! As far as the house, I would never leave mine unattended loose at that age... maybe at 2 or 3... and for a very short time?
I have never had a digger, so can't help you with that... but off hand, sounds to me like he really is not getting enough excerise, especially mental excerise. Do you take him to any training classes? Do you do any training at home to engage his brain power?
Who is his breeder? Many of us are related by our Basenjis