So this is a good lead for me to approach businessinsider.com with some of my articles, right?
In an ideal world, you want to find the site that:
Has the most relevant content to what you do
Has the highest page rank
Has lots of INBOUND links from other sites that are relevant to yours and also have high page rank
And that links OUT to few other sites besides yours.
While it will be difficult to do, I think if you can be patient with them (instead of desperate), and demonstrate to them what concrete value your content will have, then you will have a better chance of getting published by them.
Maybe you should reserve your BEST article for the BEST site, but you can get other articles published on second-tier sites first. And if you can get any sorts of metrics that prove your articles are great (like that they have a low bounce rate, or that they help the website owner get lots of conversions), then it will probably be easier to get your killer article published on a top tier site.
If I published other people's material, and a writer was able to say to me, "My articles have a lower bounce rate than the other articles on the site, longer time on page, and better conversion rate," I would be much more enthusiastic about having your write for my site.