I read about something called 'low communication' on another message board. I find that it's easier for me to do that than 'non communication,' basically for the reasons you allude to - less drama over all.

I do not want to speak to my father, but he occasionally sends me emails or text messages. I do not respond to the majority of them and delete them immediately. However, I occasionally respond with very brief contentless replies. Stuff like 'That's great news,' or 'Can't complain.' I then don't reply to any further messages. Maybe something like that would work for your situation?