Or even better... if I can do this...
ORD to LHR on AA
Stay in London for a few days
LHR to CDG on BA which will get me to the train to take to the south of France.
NCE to MAD on BA
MAD to ORD on IB
According to the GCM, this is only 8966 miles.
(eta - I think headinclouds was trying to say this to me above. sometimes I need to write these things out in order to visualize them)