On May 30, filing closed for major party primaries in Wyoming. The only person who filed for U.S. House in the Democratic primary is Richard Grayson, who lives in Apache Junction, Arizona. He is one of only two individuals in the U.S. who has ever been an Americans Elect nominee for Congress; he won the Arizona Americans Elect primary in 2012 for U.S. House, 5th district. Here is a story about the primary field in Wyoming, with a fair amount about Grayson.
No Democrat is running for Secretary of State. The two ballot-qualified minor parties in Wyoming, the Libertarian Party and the Constitution Party, need not nominate until August, and independent candidates file in August.
It seems that there are at least four individuals who have run for Congress in major party primaries this year, or who are about to, who do not live in the state in which they are running. There were a few instances in 2012 as well.