I am thinking about getting a basenji, and the one thing that keeps deterring me is their ability to scale fences/not care about invisible fences. As I read what their tendencies are, I think the best option would be a combination. A barrier fence of any kind...something to slow them down, make them think/have to navigate. An invisible fence right below it.
From what I hear, they will cross an invisible fence in an instant, and by then, the shock is over. If there were a combination, the basenji would have to stop and begin to navigate the fence if he were to want to go over it. While he was doing that, he would be getting a continuous shock....which in turn would deter him.
He would never have the opportunity to get a "quick shock" on the way by. And no dog is going to, once aware of it, going to sit there an get continuously shocked and be "okay" with it.