Less stable than Sirius? I'm not sure I want him there if that's your take. You need to count on a certain predictability in his unpredictability.
Okay since you are more rational then my brother, these are my options now: 1. Convince Harry 2. Convince Dumbledore 3. Possibly run myself.
I honestly don't think the Black name has the impact that it used to have but we do have connections to Europe. Dumbledore is... well, not my first choice, but he has a name recognition that goes past Harry Potter. He bloody saved Europe in 1945 and there will be plenty of old people around who remember that.