I'm not certain the home country of all the folks on this website. Too many for me to keep track of.
However, in the United States, there are numerous designations of public land, many of which permit hunting. For the most part, hunting is permitted on private property. So, any private property adjacent to the actual trail property would be legal to hunt upon.
As for hunting 'blinds' in terms of this case, there is no evidence of such that I am aware of.
Hunting is illegal and/or restricted in most urban areas. However, in rural America, it's pretty much legal, each State having it's own laws, and regulating dates, bag limits, type's of weapons used, etc.
White Tail Deer in the U.S. is a very successful species, so much so, that the herds either 1. become terribly destructive, or 2. overcome their habitat and starve to death, particularly in winter time. I've personally seen bark stripped from trees, where deer were struggling to survive with a deep snow pack, dying from starvation. Big time, not just a few trees. Think a hundred deer, or more.
A search of game management in say, Pennsylvania, would give a person a good look at the process of managing the deer herd, and all other wildlife in that state.
Many wildlife refuges, state, and even federal parks permit hunting. I have seen lots of signs at the entry to such parks, nature preserves, etc, that indicate the hiker should either avoid hiking certain areas, or certain dates, or dress in blaze orange, etc. etc.
Edit to add, just today I saw 3 dead deer along the roads I normally drive. It is not unusual to see deer road kill. A few years ago a deer ran out from some trees smack in to my driver side truck door.
Also, farm/crop damage from deer herds is huge. Many states permit farmers to kill unlimited number of deer in an attempt to control crop damage. They also get hung up in wire fencing. That's quite a sight to see. A deer will bolt straight head on into fencing. A few years ago I came across one tangled up in a wire fence. A local came by, killed it, and took it home for the freezer.
For any curious foks, I am not, and have never been a hunter.
It's worth mentioning here that the reason deer become over populated, is because hunters have caused their natural predators to drastically decline.