I am not sure that reputable regulatory authorities would permit this. Certainly the Boeing FCTM section on circling approach procedure makes no specific direction in terms of FMC navigation in lieu of visual navigation. In marked contrast the FCTM does publish extensive information on FMC planning for instrument approaches. This suggests Boeing does not encourage heads down MAP reading during a visual circling manoeuvre?
So then what would you propose, the CATD sim is useless in actually simulating a real visual approach, regulatory authorities have permitted and will continue to permit this since there is no alternative at this point in time.