Some things - Lots of activities around the CWS and Old market will be crowded. I think there is a winery close to springfield I think you will Drive by on the way up to Omaha.
The Zoo is very nice and large, I think it is a two day affair if you want to see everything. They just built a new aquarium there I think....Also in the same area is an IMax if you want...
There are casino's right across the river in Council Bluffs.
You should walk across the Bob Kerry Pedestrian bridge, very close to the stadium.
Other campsites - there is a KOA in Gretna, probably no spaces left. Two Rivers SRA, small state park. Also Mahoney State Park, probably the same distance away as Louisville. It is a very large park with a lot of stuff to do, fishing, hiking, indoor playground and outdoor pool with slides and other things. IT is right next to the SAC museum and also a Drive Through Zoo(I have never been there).
One of the things I think is under-rated in Omaha is the resturants, lots of good locally owned places. Also, if you are into brewing, you may want to visit Lucky Bucket brewery for a tour or stop by Upstream Brewery for supper.
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2005 Ford F-250 King Ranch (yes, the dreaded 6.0)
2004 Suburban 1500