Seeing the picture of the bike shows it already has what is considered the best front brake BSA ever had. I was expecting a full width Ariel or cast iron type, both of which perform poorly in comparison.
There is a wealth of information and debate within the forum, along with the merits of modifying levers, pivots, cams and linings. Worth taking out the shoe pivot and seeing if the mount is slotted. This will enable the shoes to centre, rather than the usually thicker trailing shoe meeting the drum first and preventing full pressure on the leading shoe. Could be something as simple as the wrong type of lining, well set up it will work pretty well.
Swarfy.