I agree with everyone here that your best bet at this point is to go for a lesser degree, like a medical assistant or CNA. You'll be able to get through the degree faster and get into a job that doesn't have so many off hours.
I have a friend with two young girls who received her NP degree a couple of years ago. It took her a while to get it. The schooling and the clinicals took a lot of time away from her family, and she had to travel around the state for some of it, so her family could watch her girls while she went to clinicals. In the end, she was very happy with her decision to do it, although her first job was in a physician's office in an urgent care capacity. She worked long hours even then. She has since moved to another state and found a great job in a physician's office seeing her own patients. I don't think her hours are quite as bad, but she still has to take call, which is something you need to think about as well. Who will be there for your kids if you have to see a patient in the middle of the night? (I'm not sure how it works for NPs, but my husband is an OB/Gyn, and when he's on call, he has to be ready to go into the hospital if he's not there already, even in the middle of the night.)
If you get a lesser degree at first, you can always go back to school and get your bachelor's degree/NP when your kids are older. Good luck! If you have any questions about medical school or residency, you're welcome to send me a private message. I've been with my husband since undergrad, so I've experienced everything. He's now a practicing OB/Gyn.