Negotiating for salary as new grad-- need some advice

Ok-- let me set up the scenario. I have a hospital where I'd like to work. I just interviewed and it went well. Overall on all benefits the hospital I like (I'll call it #1) is below another competitor in the city (#2- which is a for-profit). I'm ok with my benefits being a little off but i'm really having trouble with how far off in salary they are compared to #2-- try over 10,000 off base pay. I've calculated it all out-- the shift diff, the bonus... I've compared everything.. everything!

So I was trying to be ok with that-telling myself I won't even notice - then come to find out-- hospital #1 is actually hiring in their grads at about 5.00 more an hour which of course puts the salary closer to the other hospital. How do I make the arguement that my education is no less important to thier's + I'm not a complete outsider since I did work there before. I did not interview at their program as things were already set in motion at another school when they FINALLY offered me an interview and then of course there was no promise-I don't regret my decision about my choice of schools. I'm not chasing the almighty dollar-as I would just stay at my current training and get experience and go do locums. I trying to come back to this area to put down some roots-- I mean heck I could be coming back there forever and ever amen!

So why do I want to be at #1: teaching hospital for medical and nurse anesthesia, more tech advanced, it's just a feeling of where I'm suppose to be.

Making it worse-- all my negotiations are through HR only.