If your question is how do you get someone with a huge list to promote your product, you’re probably just out of luck, you’re not going to be able to do it. Someone with a large list puts out a product each week, no one with a huge list is going to promote your product when you cannot return the favor to them.
I would recommend start today building your list. Ask smaller marketers, people with your size or slightly larger to promote for you. Set up some squeeze pages. After a year or so you may just have a large enough list to get some big marketers to support you.