As a policy we autoland if the weather is below cat I limits treating all approaches in these conditions as a cat III. This was the basis upon which our AWOPS approval was issued, and to change it to have cat II and a man landing would require further sim training to bring all crews up to speed.
Taking out the autopilots late on a dual channel approach to conduct a man landing will have the aircraft trimmed nose up for the flare and you risk destabilising the approach very close to the ground if you adopt that as a method.
Why complicate things the autopilots do a fine job and if we want to hand fly down to cat II limits I am sure that the TRE would let us have a gash few minutes in the box