Check reprints and quarterly tax reporting

We are trying to avoid doing 941x for payroll payment void/reissues that relate to prior quarter.
A suggestion was made to create a deduction where we credit the net amount for the employee and create the payment on the pr80.  The printed check would have just the net amount - taxes aren't affected.  This works great.  The question I have is what to do if anything with the overstated net amount in the payroll history?  We use ADP and are charged for the 941x's.  We could send 'amendment data' to them but they charge for that too.