Yup, you want a C-level Executive (CFO, CTO, CEO). They have the power to make a decision ASAP and buy now if they'd like, or they will at least forward the email to the right person. Either way, I'd contact the C-level executives first. If you can't find contact info for them, then you can try to find contact info for whomever is next in the chain of command.
It takes some work finding names and emails etc, especially if you don't have ZoomInfo or Data.com or one of those, but it can be done.
I'd start with emails, but if you have no fear of making a phone call, more power to ya.
I believe Domain Sherpa did an interview a couple weeks ago (with David Kelly). It walks you through David's process. You can go from there
You may also want to get a paid email address, it makes you look more professional.