Proof of work is tricky, IMO. I think I tend to over-prove my work. I'll explain the request, and then mention the first three-or-five-or-whatever things I've tried, including what went wrong. I always thought it was most important to show I'm serious and that I've tried everything I can try before asking for help, but I think this hurts response rates. I think the reality is that most people don't want to read a wal…
Always start your email to a busy/important person with exactly what you want from them. Within the first two sentences. Then peel the onion, giving details from more important to less important.
This gives the reader opportunity to stop reading at any point having decided to help you or not, with the least waste of their time. In many case, the person can skill your description of your work, and just tell you what to do.