I'm graduating in May and I agree that persistence really does help. Send your resume anywhere and everywhere and then follow up with a phone call or an email. Don't be too pushy but let them know how interested in their hospital you are and that you are looking forward to hearing back, etc. I had three interviews (NYP, MSK, NYU) and aside from some specific floors many of them are looking to hire over the summer more so than now. Five years ago Nursing Seniors had six offers in March but that is just not how today's market it. A hospital is not going to want you until you can actually be of value to them. Therefore they are less likely to offer you a position until after you have passed the NCLEX. Some also have certain new grad orientation days. I believe it's NYP that has one in July and one in August. So don't panic! Keep applying and calling and doing whatever else you have to do. Get an interview and wow them with your charisma and natural intelligence :)
As for everyone other than new grads, I'm sorry to hear you're having such trouble. I agree that it's unfair to hire fresh new grads with BSNs over experienced LPNs but you know what, go back and get that BSN! You have the benefit of all that experience and knowledge I bet you'd all sail right though!