Many modern fighers have a rearward cg location and the stability comes from computers and sensors. I have flown quite a few jets based on such aircraft. We do not try to emulate the CG of the full size aircraft. We put the cg in the normal position. This then loads the horizontal stabiliser and thus we get normal lontitudinal stibility.
We use Gyros for dealing with gusty conditions, or for 3D flying.
John