The Devaney Center is located on the old State Fairgrounds, which has been leveled so parking should not be a problem. (As long as they can get the snow moved.) Seriously, check the weather before you come over. It may be fine, but I saw where Jim Cantore said he would be in Lincoln, Omaha or Des Moines for this storm.
Parking is $5
As for eating, someone else suggested the Haymarket Area downtown, and that would be my suggestion as well. Vincenzo's is a very nice Italian place. Lazlo's is a Brewery & Grill, The Oven (Indian), Buzzard Billie's (Cajun), and downtown, but not in the Haymarket is Misty's (Steak). Also, there is a new place downtown called Single Barrel. I have not had the chance to try it yet, but I hear it can be a fun spot.
Hopefully you can make it over. We need all the Hawk fans we can get. While Nebraska is certainly beatable, they have played some of the big boys tougher than I thought they should. Hopefully Iowa can make it 4 in a row.