I've just looked at the Crazy Guy stories, many of the which are about Norway. It looks lovely yet I've heard it is so expensive that a cup of coffee costs £10. Another story describes a tour of Finlands Lapland. To be honest I may as well follow the advice of Steveindenmark and visit the Scottish Islands
I was initially going to suggest Scotland too but I thought it was too close to home. I do recall taking a midnight hike near Glencoe one June 21 (and having a snowball fight!). It was never fully dark but neither was it as bright as it could be further north.
If it's something you really want to experience, a dream if you will, then I'd suggest to focus on the ways to overcome the problems - any tour worth its salt is going to throw up problems. Achieving a dream can be very rewarding.
Coffee may well be expensive but a simple stove can save a lot of expense. My understanding is that the Nordic countries are very well equipped for wild camping so that there can represent a significant saving in comparison to other destinations (not Scotland, of course).
Good luck.