As everyone else has mentioned, ask your peers to introduce you directly to the manager. A couple of things:
Include a brief but enticing paragraph on why you are awesome. It makes it a lot easier for the "intro-er" to forward or reword it.
Be respectful of the other's time. Depending on the company and job, some people really welcome a break for coffee for a potential hire or an interesting person; others are swamped, and the triviality of a "coffee date" will be easy to turn down. Try to gauge which this is.
Coffee meetings can be take, take, take. Try to give back. Maybe you have something the other could learn?
Include a brief but enticing paragraph on why you are awesome. It makes it a lot easier for the "intro-er" to forward or reword it.
Be respectful of the other's time. Depending on the company and job, some people really welcome a break for coffee for a potential hire or an interesting person; others are swamped, and the triviality of a "coffee date" will be easy to turn down. Try to gauge which this is.
Coffee meetings can be take, take, take. Try to give back. Maybe you have something the other could learn?