Well, he didn't seem to make an effort to reach out to some of the members of Congress that HeloDude mentioned that have made a stink about this issue (that was the route Ellsberg went with the Pentagon Papers). Or he could've restricted his leaks to the domestic stuff and not start spilling stuff about our foreign collection methods/targets (and perhaps remained anonymous or revealed himself while staying in the country). I find the "sincere guy worried about American civil liberties" argument hard to believe when he takes other documents and flees to another country. I don't think he's off to sell stuff off to the Chinese or Russians per se, in fact I'm having trouble determining what his motives actually are.
He was reportedly trying to go to Cuba, Venezuela, or Ecuador. Not exactly bastions of free media and government transparency, either. He did mention wanting to seek asylum in Iceland (after going to Hong Kong), but I have trouble buying that. Did he really think a democratic country with strong ties to the US was going to shelter him after he stole a bunch of classified documents and started giving them to the media? Either he's the most naive person on Earth or full of shit.