I have made ORD connections with only 1hr50 going from LHR and onto DFW fine a few times. The bags always make it even if in Y like myself, the only problem is the queueing and getting back through security after passport control. However it usually works out that i can quickly pop into the AC use their decent toilets, take a newspaper and walk briskly onto the plane jsut as 1st boarding starts so only having to wait around for a minute or so for pre-boarding. So, no i don't recommend shipping it, but if you feel you must then bare the extra cost.