Square off or Trim nest instead of using offcuts

We would like to have a way to square off a nest without trimming fully around an offcut. I'd like to not machine 4 sides of offcuts but rather trim the full length (or width) of the sheet. this helps avoid offcuts potentially being too short for future parts especially in the case of high value custom laid up sheets. If we have falloff on a 96" or 96-1/2" sheet, we would like to maintain the full length for use later on the small chance we really need it. Typically the sheet trim is just one full length or full width trim at the extents of the nested parts in that sheet. I know we can turn off the offcuts but then we have unwieldy offcuts to manage or trim manually which is very inefficient.