My thoughts are school nursing or a doctors office. I find from your post the patient load, high death rate, and the hours are your biggest hurdle.
School nursing, you'd be doing the same hours as your kids. You'd have all holidays off to be with them. BONUS!
I know at my old school the school nurse was on a high school campus and all three of her children attended the school, so if ever they were sick, they would go to her, lay down til she got off work and then go home. (she had two children who were pretty sick kids, but managed to keep up with their coursework!)
Then with a doctors office, most patients aren't dying in the office. The hours are usually 9-5, so no nights. You only see one patient at a time, and since they aren't usually on deaths door, you can see them as they come and go thru systematically without feeling overwhelmed by "room 2 needs this, rm 6 needs pain meds, rm 4 needs to toilet, rm 3 needs has been on the bedpan for 30 minutes, rm 1 is having trouble breathing, rm 5 has a new onset GI bleed since this morning - welcome to your morning shift!" ya know what I mean?
Hope this helps!