The first question is are the dogs "zombiefied"?
A regular dog pack is going to lay around a kill, eating it, gorging and cracking bones etc., then sleeping for a while, then going for a drink of water, then back on the hunt.
Zombie dogs, who knows?
Deer move in smaller family groups, moving from water, to choice grazing spots, to afternoon resting spots. Hunters will want to find these resting spots and shoot the deer there. The other chioce is to get them as they move to or at the water source. If your humans have the resources and planning, they could put out a saltlick. Basically a block of salt that the deer will make a habit of visiting periodically once they find it. The hunters could simply lay a trap of some kind (Snare, dead fall, or ambush) nearby.
The thing about a post zombie world would be the number of animals that would be around. In a few years there would be dog packs, feral cats, herds of wild pigs and wild cattle, maybe wild sheep and flocks of chickens. There will be large colonies of Rats and mice, more rabbits etc. Even without humans to help them repopulate, and without millions of humans to eat them or run them over in cars,
their pop.should grow more rapidly then the predators to eat them. That does not even count any exotic zoo escapee animals. Lions and tigers and bears oh my.