One very large mistake you're making is assuming that companies make any decisions. They don't. People at companies make decisions. So here are some steps to follow.
Step 1. Find "right company".
Step 2. Find "right person" @ "right company". This person should personally gain something by your product. i.e. spend less time doing something they hate, look good to their boss. Linkedin can be super helpful for this.
Step 3. Figure out how to get "right person" on the phone. This could be shmoozing the secretary(called gatekeeper in sales), or e-mailing someone higher in the organization and asking for a downward referral. "Hey CEO, we want to save you lots of money via data science. Who is the best person in your org to talk about this opportunity?"(It's always easier to get a downward referral. Your boss is usually much more willing to waste your time with a sales call then you are to waste his.)