Todd,
The crankcases would appear to be A50 items!
http://www.bsaoc.demon.co.uk/post1960.htmlBUT... this could mean a number of things.
The bike may have been originally built as an A65 but at some point A50 crankcases or more parts have been fitted?
(a large number of parts are common to both models - including the crankcases)
Or:It's an A50!
Or:The bike was originally built as an A50 and later converted to A65 spec?
(would technically still be an A50 I suppose?)
Are you sure that the '2' = (A502) isn't a letter rather than a number?
What is the frame number prefix? Later A65 frame numbers had A65 prefix, any idea of the year?
If you email your photo direct to Nigel I'm sure he can post it up for you?