Hi Stan,
From 知乎:
上面很多人的解释太过诗意,却离真相比较远。所有离开居住地的行为,都可以称之为旅行。比如你出差去上海开个会,或者去纳斯达克敲个钟,都是旅行。只有围绕景点展开的活动,才叫旅游。周末开车去百花山,或者到塞班岛度个假,都是旅游。 国家旅游局不能叫国家旅行局。
This basically says that all actions that involve leaving the place you live, can be called 旅行. Eg. I'm going on a business trip to Shanghai; I'm going to the Nasdaq to take part in their IPO - both of these can be called 旅行. Only when you go to a place and travel around the area, can you use the word 旅遊. Eg., At the weekend I'm driving to Baihua Shan (to go sightseeing); I'm going to Saipan on holiday - both of these are 旅遊. The national tourist bureau is called the 旅遊局 and can't be called the 旅行局.
環遊 only every appears in the phrase "環遊世界", which means to go travel the World.
Laurence