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If you're in Southern Norway this area will give you plenty of opportunities. Places like Åmot, Rauland, Rjukan, Vrådal, Hovden, Haukeligrend etc. are rural towns that are nice and tourist friendly. When travelling by car these roads will offer scenic views pretty much the whole journey. Maybe your friends are not keen on climbing all of Gaustatoppen, but it's not a hard climb at all, even kids can do it. But it's a nice place. Close to it you have the city of Rjukan which has a museum with cool WW2 history. Of course in Norway you don't have to worry about public camp spots as you can just wild camp, you can read about the camping laws and such online.