Pre-emptive hiring for PE?

There are some PE firms that don't actively recruit for post-MBA associates, but will say that sending them a potential deal is a good way to potentially be considered to join their investment team. Does anyone have experience navigating such a way in?

If so, do you mind sharing the "process" you went through in sharing your idea (write a cold email with an attached presentation, setup a meeting, etc)?

I realize this is somewhat of an uncommon question that may get no responses, but figured I would give it a try.