I don't yet have college aged kids, so my experience is nil. :)
I would get the fees for both schools, add everything up, then subtract whatever you will be able to give her. Show her in writing how much more it will cost her and what her payments will be when she is done. Have her research how much she will be able to make right out of college.
After that, I would let her make her own decision, especially if she will be paying for most of her own education. She will be an adult, albeit a young inexperienced one, but I think they need to be making their own decisions at this point, especially if they are paying for them. If I were paying, however, I would say, "Here's how much I'm going to spend. If you want more, you'll have to figure that out." And then I'd still let her make the decision.
Hope this helps.
Kim