I had a similar situation with coyotes in the early 2000s in central Va. We had off from school because of snow, so I was out roaming the woods. I had my .17 HMR, just in case I saw something to shoot, like a rabbit, squirrel or crow. Something spooked some deer, and they came running toward me. I thought it was weird that they ran towards me, since I thought I had jumped them up. I didn't think much about it.
A while later, I thought I saw deer running on either side of me, just flashes of grey and no sound what so ever. But they were really grey, more so than a winter deer, but I didnt put 2 and 2 together. After a few minutes I crossed some dog tracks, which I followed. The tracks circled where I was, about 30 yards from my tracks, then I could see where they turned off and when elsewhere.
I can't imagine coyotes would attack a person when theres plenty of game and the winter isnt so bad, but it is still a pretty creepy feeling.
Now that I have seen wolves at zoos and a big black one in the wild in Alaska, I can only guess how much of a difference it would have been to have wolves circling.