The International Naturist Federation defines naturism as:

WHAT IS NATURISM?
"Naturism is a way of life in harmony with nature characterised by the practice of communal nudity with the intention of encouraging self-respect, respect for others and for the environment".

A common concern with religious people about naturism is how it appears to conflict with modesty.  Recently, the New Era did an issue about the body, and in the article, Let’s Have a Modest Conversation, there was a great quote:

Modesty isn’t only about what you wear; it’s also about having an attitude of humility and dignity. It’s about respect: respect for ourselves, for others, and for God.

The Naturist Living Show has an episode about Ethical Naturism.  He talks about naturism as A philosophy and practice with physical, psychological, environmental, social, and moral benefits. A creed as to how you will live your life, whether you are clothed or not.  He also talks about how the nudity isn't the end goal, but a tool to achieve the end goal, that of increasing respect for self, others and the environment.

I think LDS people could add to that definition, increasing respect and connection with God.