Such a tough sitch that you're in. I thought the limited contact with my W is challenging, I can't imagine going through absolutely NC. I do think w/o kids I would be in the same boat as you.
It looks like you are focused on yourself and kids, which is exactly what we all need to do here. From the outside, it looks like your making the best decisions for you and you family. That's commendable amidst all the pain you must be feeling. Keep going and good luck in the job offer.
M:36 W:37 T: 15 M:11 S6 D5 BD: 8/10/14 IDLY: 8/12/14 S: 8/13/14 (she left, I stayed w/ kids) D Mentioned: 10/15/14 Confronted about OM: 10/15/14 EA: ~4/13 PA: ~10/13 She filed: 8/15 (not final)