Before you let your bank take the house, you really do need to understand the impact that it will have on your credit. Sure, you might not need to buy a car, another house, etc. right now but you NEVER know down the line. Your credit score will drop at least 200-300 points and it will take years to recover. I know you said you wanted to be a stay at home mom but should you in the future try to get a job it is possible that they will do a credit check. Also, insurance companies will do credit checks to determine how much your premium is. Especially in this day and age, your credit score is a huge, vital part of your financial life. There might be a lot of events that you may not foresee right now that will be negatively affected because of this decision.
I understand that you're between a rock and hard place, and I'm sorry you're in this position. I just, with good intention, wanted to make you aware of the repercussions should you have the bank possess your home.