United flies ORD-BNA route. Is the issue that there is no award availability on United? Are you at all flexible on dates of travel?
Added: If you can find United flight ORD->BNA, this would be the ideal solution as it is essentially "free"...no additional award miles needed for adding on that leg to the CDG flight.
Last edited by goodeats21; Sep 26, 2014 at 1:45 pm
Reason: added