Here's progress report! 

See the above. I used all the hair groups from the baron hair. A lot is hidden inside the 'turban' I made her (Antonia) wear with the hair. For practical applications of course I could make some invisible, move and use magnets, but the name of the game here is how to constrain hair. Other solutions are postfix recourse. 

The thing on het head is the 'mould' I used this time: A transformed torus. In fact it is the outer torus, because I used a second torus inside this one to make the 'pressure' on the hair more intense. During the simulations I noted the hair, when squeezed, at some moment jumps trough the surface of the mould and then, once passed, there appears to be no holding back anymore. Apparently, once the process has taken the 'penalty' asociated with  a hair vertex entering illegal space, there is no further penalty if it drifts away there further. By adding a second mould inside the first one, I added a new penalty. I can not give a weight to the penalty function in the collision. I assume this is something internal hard coded in Poser. I can not find it in the .cr2 and PoserPython does not give any handles either. Logic has it however that vilolating more constraints gives more penalty. Will try agian later and see what happens if more consecutive constraints are imposed, either as back-up to the final surface, or as 'waymaker', preceeding the final surface. 

A second conclusion I made is that it is better to actually let the hat come down on the head than to 'shrink' the hat onto the head. The crux seems to be that the process lacks methods to find a place for the hair when 'caught' between head and hat. The available input parameter make me assume the structural model of the hair contains only bending and maybe torsion. Strain, and certainly 'buckling' appear to be not represented in the model. Hence the best way to move the hair aside would be a 'sliding' load, much like 'combing' your hair with your hand.            

The 'dynamics' parameter for the hair groups indeed can be set to values higher than 1.0.

Capturing the morph I have not investigated yet.   

To be continued!