Be prepared to pay... http://www.lonelyplanet.com/bhutan
They charge you by the day, and it is actually one of their major source of income. It's an interesting society, with a Ministry for Happiness... It messes my mind on how can somebody measure my own happiness other than myself. Any ways, there are other groups, in such remote places as Scandinavia that keeps a very low profile kind of life, and living from what they produce or capture.