It has never been heavily hunted due to only designated areas are hunting permitted. You need to go to head-quarters and obtain a map of the areas (there are two). Do your homework and you may score. Better for deer than fowl.
forget the seneca division for deer...unless it changed. i found 3 sets of deer tracks off Johnstown road two years ago in the snow.
the waterfowl hunting off swamp road should be good but there are areas that are a NO GO for waterfowl. you will need a map and a free permit to hunt on the refuge. both can be obtained from the information kiosk at the intersection of route 408 and swamp road.