Without having waded through the whole thread, will climb onto one of my hobby horses.
If the lathe is not secured to the bench, the bed maywell be twisted. The cassting will have stress relieved itself and twisted once it had been machined.
As already mentioned "Rollie's Dad's Method" is the way to remove twist from the bed.
(Read Ian Bradley's "The Amateur's Workshop", or his " Myford 7 Series Manual" which describe the techniques already mentioned. )
Removing the headstock, will have made this task more difficult, since you will be unsure whetehr you are aligning the headstock or removing twist.
Moral:
Always gor for the simplest things first. The Headstock might have beem aligned, and the bed just needed the twist removing.
But, you are where you are.
I would suggest, having bolted dfown the lathe, trying to take twist out of the bed by using a sensitive level on the cross slide,, at each end of the bed, by travesring the Saddle from one end to the other.
Ian Bradley will tell you which side of the tailstock mounting foot should be shimmed / adjusted. (I prefer using screw adjustment to be more precise. )..
Once that is done, as accurately as possible, then you can use the Alignment bar and start aligning the Headstock.
Good Luck!
Howard