Do the Congressmen have to run in the district they live in for the purposes of this challenge? If so, we can just draw Marcia Fudge out of here district and someone else would have to win. If not, it would be almost impossible since there are too many prominent Congressmen in staunchly partisan areas. For example, if there is any Republican district in Butler County, OH, you can bet John Boehner will win it, and it's too big to put in a Democratic district without making all the surrounding incuments safe, unless you draw something tortured like attaching it to Columbus.
Indeed, it's going to be impossible to ensure the defeat of every incumbent. Even my example map doesn't come close to guaranteeing it. The idea is to scramble the districts such as to maximise the expected number of incumbent defeats.