Regulators are different than control valves when it comes to sizing. All regulators must have some 'droop' or offset flow, which is an offset to your setpoint. Most regulators are sized for a 10% droop, some for 20% and it depends on what your system can handle.
The wide open Cv or Cg is used for safety relief valve sizing only, not for sizing the valve itself.
All of the Fisher data sheets have charts for capacity and these are what I use to size them, then use the wide open Cv to size the relief (full disclosure: I work for the Fisher local business partner - rep). I would call your rep and have them size it, it is their job.
FYI: Cg is the gas flow coefficient, Cv is the universal flow coefficient, and C1 is the ratio of Cg/Cv