Sure, look high and low! If you find a C. No.32 Mk.III, maybe I could swap you a Britishscope (and some boot) for your BSA as I have need of a Canadian
Mk.II (S/N 270, actually).
You may want to add a post to the Milsurps (Angel's Matchmaking Service) forum below which is dedicated to bringing together long separated bits.:
Rifles looking for scopes:
https://www.milsurps.com/showthread.php?t=1039