That's a magnificent looking motorcycle Bazzer. I have a soft spot for them as it was my first bike, thrashed it mercilessly for most of its life, and fell off it several times a week. Cost me £10 and was delivered to me in Sussex from London.
Beyond your stated budget, but it’s worth saving up for a commando. Spares backup is second to none (you can build a new bike from new spares these days!) and the performance is more than adequate for modern roads, which is more than can be said for many old brits. I also have a soft spot for bsa, but the commando really was the pinnacle of period Brit bikes (ducks and runs for cover)
A pristine 850 Commando, a 600 SS featherbed and a modern low miles, three or four year old Commando Sport 961 are all around the same money - 10 grand. There's a daydreamer's dilemma. it's not going to happen but it's nice to think about. For me it would come down between the SS and the 961. The Dommie is motorcycling royalty and a gold-plated investment. The 961 you could actually ride...
Go outside the box https://www.ebay.co.uk/itm/ROYAL-EN...410662?hash=item4b44898626:g:Fv8AAOSw2gxYraT9