Jobs at small Raleigh companies nobody posts about - first time posting

A friend who works at a local manufacturer says there are openings not advertised online. It has been weighing on me all week. They prefer people who can start within a couple of weeks. What do you write in a cold email?

Keep a list of who you contacted and when. It makes follow-ups easy.

Visiting in person worked for a trades job. For office jobs, email was better.