Photo of Saariselkä courtesy of DXing.info
If you have the time and money, this DXpedition site–owned and operated by several hard-core Finnish DXers–could offer up a week of exotic AM and Shortwave DXing. Rent for one week is very reasonable at 500 Euros, but travel expenses (especially if visiting from outside of Europe) can be pricey, so do your flight research well in advance.
Mika Mäkeläinen does a great job writing up what a week could offer you at their little cabin. Well worth the read even if you don’t intend to visit this Arctic listening post.