Yes, this is what I do now.
I was sitting in Peets today, job searching and happened to overhear the man next to me say hello to a friend who walked in. Afterwards, I introduced myself as follows. Me: I hate to be so forward but I couldn't help but overhear, are you in education? Man: Yes, I am. Me: I am too! What do you do? Man: I'm in a leadership position at ______ school. Me: Oh, really, because I'm looking for a job.... He then asked for my resume and offered his help. I told someone that I did that. His response: "Is that what you do now? Just give anyone your resume?" My response: "yes." This behavior isn't out of the ordinary for me any more, and I'm not afraid to do it. I figure that the worst thing that I can happen is that the person I reach out to, thinks I'm rude and too forward. But then I never have to see them again, so I figure it's ok.