Your demo link seems broken. Also, I think the site needs better, richer content and proof points. It kind of feels lacking from the first glans, I'm not entirely sure I trust the service or why I should use it relative to others.
I think cold outreach works - as long as you are truly providing value for the prospect.
Another strategy if you want to reach out to prospects directly (without bloggers) is to work with an integrations partner and give exclusives to their users for free access.