There isn't much I can say that
BitterSweetBrews hasn't already done an excellent job of explaining! I was going to recommend Kros Strain for their hop forward beers, and because it is right next door to Pint 9 so (if you're like me and want to see as many breweries as possible when traveling) it could be an easy 2fer.
The same could be said with the Benson area, where, in an afternoon you can walk and hit Scriptown, Infusion and Benson brewing. If you're in the Benson area, it's a bit of a hipster haven, but I would recommend a stop into Beercade. They typically have 20+ quality craft beers on tap and have 20+ fully restored pinball machines and a lot more arcade games.
Farnam House brewing is what I consider to be a 'must see' if in the area. As previously mentioned they have some excellent sours, barrel aged quads, brett beers and a World Beer Cup Medal Bier de Garde all served in a laid back environment with excellent service and a wonderful lunch menu to boot! (ask what the daily burger special is, the IPA buffalo wings are phenomenal and they make soft pretzels from their spent grains..mmmmm)
Again, there isn't much I could say which hasn't been covered already so I hope this wasn't too redundant. Just wanted to get my 2 cents in! I hope you enjoy your visit to Omaha and if there's anything I can help you out with while you're here feel free to ask!