Here's a good resource on SANE's relation to the Nuclear Freeze Movement and the current antiwar movement:
What years was your mother with SANE?.....
During "nuclear testing". Late 50s, early 60s. Main selling point was our milk being contaminated with Strontium 90.
I always knew them as SANE. My guess is Freeze glommed onto old SANE mailing lists to get up and running. Freeze came in the early 80s and was trying to stop us from basing nuclear missiles in Europe. Am I right about this?