It's your life. Take the ring off. I just want to keep delaying the actual separation/divorce stuff as long as possible. Maybe having the ring off is a good defense to you seemingly not getting it. When she accuses you of trying, you just say "I took my ring off- I understand you are divorcing me". But then still drag your feet and don't enable her to actually accomplish anything towards that goal. When push comes to shove you just disagree that divorce/separation are the best avenue FOR YOU. She's free to have a different opinion and pack up and leave should she want. Your opinion is just as valid as hers and you can calmly agree to disagree.
Your not begging her to stay just being completely disinterested, unavailable and unhelpful with regards to helping her actually leave. She wants divorce - it's ALL on her.
Again...don't go there until you have to. Feign cooperation for now and try to get her to delay until after the holidays. Give son a Christmas he may remember. Pretend you'll be more helpful in January then, in January, change your mind based upon the research you've done.
Maybe having the ring off will end up helping???? Just don't point it out to her (unless it comes in handy like above) or hope she notices.
The internet is 90% complaining and entitlement and I hate it because I deserve better!