Sorry Doug,
I carried on and completely forgot to mention the obvious. It's available from the English VMCC Library. Their site is
www.vmcc.net and when you go there do a Library search for Sturmey Archer Gears. You'll find it listed as Sturmey Archer 1930 LS Type Instruction Book & Spare Parts List.
I've just looked it up to make sure of the exact title and found they also have previous Sturmey Archer LS Type Instruction Book & Spare Parts Lists for both 1928 and 1929 which will probably make life even easier for you. I only have a copy of the 1930 publication so can't say what other info may be included in the earlier versions.
Unlike some other clubs the VMCC Library is open to all so you don't have to be a member to use it although I think the general public pay a little more for copying than club members.
I'm in Melbourne so a bit far to pop over for a weekend chat.
Finally, on the subject of those dowelled end cover nuts. Sturmey Archer fitted these fiddly litttle spring washers under each one. Commercial spring washers are usually too big to fit. In the past I have searched out an appropriate size of tension spring then cut off individual coils as replacements. It works but its fiddly. I must have been nuts.
Sorry again about the brain fade,
Cheers