Plato wrote that the common people, realizing that they needed philosophers to rule, would force the unwilling philosophers to become rulers. Of course, this was all part of an opus that argued that philosophers like him should be rulers, so the 'unwilling' part certainly did not apply to him.

I don't think there is a solution. I will note that hereditary monarchy, for all its flaws, at least does not guarantee that those who lust after power will get it, like modern-day so called democracies do. But not everyone who does not want power can be trusted with it. Nicholas II did not want to be tsar, but regarded it as his duty. We all know how that ended.