How would you feel about her caring for the new baby at your ex-husband's house on the days she's there, like a share? That would be such a blessing for the kids, who would live like "full" siblings, but might understandably not work.
You could drop new baby off or pay her for the extra time to come pick him/her up. Maybe your ex would even be ok with the reverse, having the older kids come to you on his days while the baby is still very small.