Sorry this is too late for you BBfam - but we were in Omaha for the CWS as well as a superseries event - and ran into this place:
http://www.upstreambrewing.com/
A brewpub - but still a good place to take a family. Great food, beer (both adult kind and root) - and it is a very large place so could handle virtually any size party (e.g. a team)