I'd love to see some pictures of the LDC's at some point if you ever have the time to do so.
There are a few UK based companies that make bodies/necks like Warmoth, Guitar Build is the most well known one and their quality is supposed to be excellent but they don't really do much for short scale instruments at this moment in time. Could be worth sending them a message though? All their bodies are P&J though.
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I post on a guitar forum and there are a few guys who finish instruments, SC Relics is a guy who's work seems to be getting better by the day. There's another who makes bodies and necks who lives in North London I think who's work is very good as well, his prices I think are pretty good from what I remember.
As for pickups, as I'm a guitarist I really only know about guitar pickup makers, and one of the guys who I've bought from makes bass pickups as well but he's mainly known for his guitar pickups and has an excellent reputation. The downside is ordering from him isn't the easiest thing to do (
Mojo Pickups) and they are a few vintage style passive pickups.
I had a look at the makers you mentioned and their basses look pretty out there! Great quality though. The guitar side of things is definitely more conversative, my nice instruments are for sure (pretty much based on designs from 1920's -1930's to the latest!)
eg
View: https://www.youtube.com/watch?v=THG0E3luHeY