I believe that a deer does use their nose when in a full sprint across country. Everyone would agree that the nose is the most valuable piece of equipment for a deers survival. I can relate to your push and I noticed that depending on how far back your pushers are the deer make a sprint for maybe 60 yards or so then trot it down a little bit. But when they get a whiff of danger they will hightail it hard again because they are already on red alert from the pushers. I would have the watchers be scent free so the deer will hopefully be slowed down enough to get a good shot off. Remember that this is just my own experience and I can't call it a whitetail fact. Hope this helped you out a little, GOOD LUCK to you.