The Kibbie Dome at the University of Idaho is located in Moscow, Idaho. It sits on the boarder between Washington State and Idaho, 135km from Spokane, WA and 480km From Seattle, WA

There is a local airport, Pullman-Moscow Regional Airport (PUW), however flights into this airport are limited

Frequently it is cheaper and easier to fly into: 

Spokane International Airport (GEG)

or

Seattle-Tacoma International Airport (SEA)