Besides the games against the Akrons, Ball States and Florida Internationals of the nation, the biggest blowouts and most over-matched teams I've seen Iowa play in the KF era were 2001 Northwestern, 2002 Northwestern and 2008 Minnesota.
2001 Iowa 59 Northwestern 16 - It was complete dominance, the left side of Iowa's line was Gallery, Steinbach and Nelson who were blowing up NW's defensive line all day. Iowa had 6 TDs on the ground, Allen - 2, Betts - 2, Greving - 1, Massaquoi - 1. McCann and Banks were trading drives and it didn't seem to matter who was in. If it wasn't for an early Banks interception, NW would not have scored against Iowa's first team. Iowa racked up 59 points in the first 3 quarters and called off the dogs.
2002 Iowa 62 Northwestern 10 - It was like playing a video game for the Iowa offense. Banks had literally all the time he wanted to throw. He went 10 for 10 on the day with 3 TDs and rushed for another 54 yards and 2 TDs, Iowa rushed for 263 yards on the day. In the 2nd half Iowa did not allow a first down and only gave up 31 total yards until the final drive of the game.
2008 Iowa 55 Minnesota 0 - Iowa had 483 total yards to Minnesota's 134, and out-rushed them 222 to 7. The goal posts survived this time but Lois Feldman's reputation did not.
The Arizona State game in 2004 is the biggest blowout I've ever seen of an Iowa team. 511 total yards to 100. Ugh.