I was lucky to get one 2 weeks earlier than the rest of the staff in my school. My brother works at a Hartford Healthcare branch and just gave me a call when they had an extra appointment open up. They had a whole line of people with no appointments--just walk ups.
I don't think there's a better system to be implemented right now in the midst of it but it's getting to feel a lot like Mad Max out there. Assuming that this won't be the last time we need to vaccinate a large group of people, I hope they're going to be developing better rollout systems for when this happens again.