Whatever happens, I vote don't violate that sweet BSA. It deserves respect for what it's been through, the age it's from and just how right it already is.
Thousands of other bikes need violation, just not the BSA.
I have a MZ Skorpion, it's my second one. The first I bought with a salvage title, jumped through a bunch of hoops to get it licensed in Ky. then rode it happily for 10,000 miles. When I stopped riding it much I sold it for about what I had in it.
The one I have now is rougher and I'm thinking about repurposing it into a suedo Scrambler type bike. So far just thinking , I have too many in the pipeline ahead of it.