Couple of suggestions;
(1) Since WAF is a recurring factor here, you need to determine what size enclosure she will allow in the listening space .
- I recommend creating a pair of cardboard box mockups ( based on the enclosure info given ) and then starting negotiations.
(2) Do your 416's still have their original cone kits ?
If so, they'll have this stamped number ( 21184-2 ) somewhere on the back of the cone ;
If they have been reconed with newer Altec parts, they'll have a number like the following ;
35400 is the important part to the above number .
If you have neither number then your 416's have been reconed ( most likely ) with aftermarket parts ( & therefore, with all due respect, spending any more time on choosing a box size is a waste of time > until your woofers TS parameters get measured ) .