Whenever a target decision maker expresses interest in you but asks you first to send a resume, say 'I’ll go one step better, will send you a living resume, me, in the flesh, to answer all your questions that a piece of paper can't, and I'll take no more of your time than you would spend reading my resume. Certainly it will take the individual longer to interview you than to read your resume, and that's what you want, but of course the individual will not admit that he or she would only spend 15-30 seconds reading your resume?.
If the supervisor stubbornly insists on a resume, state that you will bring a summary of your background to the interview but that you need to present it in person to explain a few details.
If you continue to meet resistance in a situation where you think you have found a person or job that interests you, try this: "Mr. Decision Maker, I know you are a busy person and that's why I want to talk to you and maybe work for you. I want to tell you what I can do for you to assume some of that burden and make your job easier. Let me take you to lunch tomorrow so we can explore a possibly mutually beneficial arrangement."
How can any reasonable person turn you down? Unfortunately, some will, if only because the moon is in the wrong quarter. There's nothing you can do to prevent it. Just don't take the rejection person ally. Remember, you are playing a game called "yes's and no's," and every no takes you one step closer to your next yes. So when someone says no, rejoice that you are gaining on your next yes and quickly try again.
Congratulations! You now know why you should find the company back door, how to find it, and how to open it. The next step is learning how to get yourself invited to stay permanently.