lol, I had something similar last week during gun season. I was participating in a deer drive (don't want to hear it so shhhh) and I was sitting with the wind in my favor and gun on my lap. The pusher down in the woods had deer run up the hill at me and they were so busy watching in his direction they backed right up to the downed tree I was sitting on.. Probably 3 or 4 feet away.. Huge rush, a doe and a small buck.. Just neat to be that close.. I sat there for probably 3 or 4 minutes until I heard someone come on the radio and yell "shoot the bleep bleep thing".... Ummm, no.. I didn't shoot, I just watched as they walked away.. Really really cool some of the stuff you experience while hunting.
I did think about poking one with the gun and yelling just to see how high it would jump before it ran but decided just to enjoy it...
So to answer your question I would have just sat there as still as possible.
Now I had a squirrel run down on me once and you would have thought thatI had some sort of alien on me, all the wierd ways I started throwing my arms and freaking out.. LOL I would love to have seen myself that day..