Last week during the mini meltdown on SAS IC, they re-booked a heap of people onto BA flights via LHR to the US, but options were scarce at the time. In times when their own IC network is operating, they would more likely re-book you to their afternoon CPH-ORD flight and then have you connect into EWR. Overnight in OSL/ARN/CPH and departure next day also a possibility.