In case it's helpful (but for a flight only, rather than BAH itinerary) - in the past I have been able to get a cancelled segment removed without a reprice. My example was a LUX-LHR-MIA return trip where the LUX-LHR segment (and the return) was cancelled, I was then able to have these removed from the booking, leaving a LHR-MIA return trip (which was subsequently cancelled itself, but meant that I could move just those flights - resulting in new dates with just LHR-MIA).