You could do two, and then I could do two, and we could call that 'one short story' and then make a completely different one xD...that way, it would be a decent lengthed story, but it wouldn't kill anyone's mind. Or, like you said, we could just do a bunch of random ones that don't link in anyway besides whatever we are all about at the time.
It's really your choice, and I don't mind doing either one ^^