Best part about hiking the Appalaichian Trail is that you can claim you're hard core, but still drink beer almost every night
When you say Europe has been done to death, does that mean by you? Because if not, there's a reason it's a popular destination. I recommend St Petersburg, Tallin, Riga, Vilnius, east into the Ukraine, back for Budapest, Prague, Ljubjana, Bratislava, Dalmatian Coast. Either continue south from there or turn west and meet the rest of the college tourers.
Alternatively, central Asia is truly something you'll never see again, the bus is running between Pakistan and India through Kashmir, and the transition through Bhutan to Tibet will change your life. Nepal is also "done to death," if you're really worried about that kind of thing.