Technically, this has nothing to do with the Right Hand Rule. That is just a human convention to assign a positive and negative signs to a particular direction. Electromagnetism doesn't care about our silly human notations.
There is no "technically..." nonsense! It's not a human convention either - it's an anthropomorphic metaphor.
http://en.wikipedia.org/wiki/Metaphor
No one is comparing or likening charge to some other thing. We simply give opposing charge "directions" a name. Everyone uses the name. It's a convention.