I often don’t heat harden things that I make in AS, and am happy with
the results (but I don’t do many rings). In regards to bezels, I
seldom use AS. Instead I use FS for bezels and fuse or solder the FS
to AS components. The AS isn’t malleable enough for my tastes when I
fabricate a heavy bezel. If I were casting bezels (as you mentioned),
I would consider .970 AS (available in casting grain from G&S)
instead of .930 AS that is available in sheet and wire for
fabrication. The .970 would presumably be more malleable.