Ok, I’m satisfied now, they are definitely hawks. I did a little looking around the web and I was pretty sure the birds I saw fit the description, but I had only seen from a distance. Now I’m really sure!
It was very exciting this morning, thinking about hilltops and hawks. I saw one on the sign as I passed by, very cool! but it didn’t fly around, so I went on past. As I was walking, quite a ways away, I heard a sort of slight whooshing noise sort of behind me on the field side, not the traffic side.
I turned and looked just in time to see a hawk land on a fence post no more than 30 feet from where I was standing. It was obscured by the branch of a small bush, but I saw it clearly, met its gaze eye to eye in fact.
It was beautiful!