Anything is possible if you set your mind to it!
I am a single mom, too, and my daughter is about your child's age. I work full-time at night at our local hospital and go to school in the mornings, sleep midday and spend my evenings before work with her. My local hospital offers the same kind of scholarship you describe (it pays for all tuition and books, but not housing or any other stipend) and I'm hoping for news I'll be getting one in the next week or so.
I don't do loans - it's a long story but a medical crisis precipitated an even bigger financial crisis for my family a few years ago and I just don't do anything that I can't pay cash for anymore. I drive a crappy car and I don't have a house payment - I moved in with my parents and pay them a set amount plus take turns buying groceries for the four of us and cover my other expenses (phone, car insurance, storage, that kind of thing). I applied for the free lunch program at school for my daughter and that helped. There have been a lot of sacrifices in my personal life (I really don't have a life outside of school, work and my child), but I want to be a nurse more than anything, second only to my desire to be a good mother to my daughter, so I know it is worth it.
All I can say is good luck and you'll always have a listening ear here if you need it!
Shari