Hello,
The only way I have found to hit a moving target with an AGM-65F is the following:
Situation, Caucasus map, column of T-90 moving on a road (lined with street lamps)
Waypoint designated in TGT,
TGP in SOI, point track on one of the T-90 of the column, TDC depress,
MAV in SOI (the cross of the Mav is not attached to a target), no possibility to move it,
Undesignate, Mav cross become free to move,
Moving the Mav cross on a T-90, waiting for him to hang it (sometimes the Mav tends to hang a street lamp rather than a T-90),
TDC depress, target hit.
The problem is that doing Undesignate resets the TGT waypoint, so you have to restart the whole sequence, in short not usable in case of many targets.