Resume Drop/Using Contacts

I'm a junior at an ivy and I am planning on doing the typical route of resume dropping when the banks start accepting them on my school's on campus recruiting website. However, I also have a few contacts who have friends in high places at many of the big banks. Should I just ask these people that I know to forward my resume to their friends and then drop my resume on my school's website anyway? When is the best time to ask them to start sending out my resume? Right around the time of resume drops? Or earlier (2 weeks, 1 month, 2 months, etc.)?

Thanks for your help.