Seems that hospitals, at least in my area, are the hardest place to get into for new grads or those with very little experience. Of course, I live in a crowded area, so competition for jobs is brutal. Because of the economy, nurses are not retiring as early as they used to, and there are at least a dozen nursing schools in the area that continue each year to pump new nurses into the arena. Also, many of the hospitals here are preferring a BSN. So, unless you know someone, your chances of getting in are not so good. Even experienced nurses with higher degrees are not having an easy time of it these days.
I WISH I was in psych, as you are. That is where I would like to wind up eventually, but I just couldn't get in anywhere when I first graduated. I see what you are saying, though - the experience in psych is not the same as in other nursing jobs. Hopefully someone will have better advice for you than I do....I guess all I can say is that we should just be happy to be working ANYWHERE!! It is unbelievely bad where I live, so many nurses, both new and experienced, not being able to find work.
I know this might sound crazy, but do you have any free time that you might be able to volunteer at the hospital of your choice? It would be a way to meet people there, and you could get a foot in the door. Right before I was hired where I work now, I had been thinking of going there with one of my dogs and asking if he and I could volunteer to spend some time with the patients - something I wanted to do, but also I had thought it would be a way to get in there and possibly lead to a real job.