Personally, I see her as inheriting Luke and Anakin's traits moreso. Little Anakin was a technological prodigy and a supernaturally gifted pilot (which for some reason doesn't seem to earn him accusations of being a Marty Stu), and of course all three were, in varying degrees, poor desert, orphans, but everyone knows that.
When I think of Han in the original trilogy I tend to think of sarcasm (to the point of being arguably rude), agression (he DID shoot first after all), illegal activies, and his affection for blasters. He was a pilot too though so the argument could be made.