Get a stick and a bindle and hit the rails. You can take night trains and pretty much sleep there eliminating the need for much hotels. You can store your luggage in lockers at the stations and spend the day traveling around wherever your location is.
Do you have the money to get to Europe? That's the kicker.
Edit: I'll leave this here, Lazer Doesn't Know
http://youtu.be/0Vyj1C8ogtE