I don't feel like this one is hard, even though Miami and Washington were down in the last decade, there is plenty of history there, especially with Miami's 5 national championships from 1983-2001.
Washington should get the nod over Iowa for many reasons, including the fact that Washington is 2-0 against Iowa in Rose Bowls.
Another trivia note. It was almost Iowa vs. Miami for the 2002 national championship. Iowa was 8-0 in the Big Ten but did not play OSU that season, so OSU was also 8-0 in the Big Ten and 12-0 overall, so OSU got the nod over Iowa and Georgia for the NCG. Who knows what might have happened if the Big Ten had a CCG in 2002. Anyway...
Miami
Washington
Iowa