Guns are big here in the States, as is hunting. There are hunt clubs, gun clubs, practice ranges, private property, all sorts of ways you can get your jollies with guns. It's the rare household that doesn't have at least one, if not several guns. Last time I looked, something like 60 million households owned over 200 million guns.
There are "camps" here where you can hunt or practice or just discuss guns, and some where they have a dedicated area populated with a particular species or group of species that are ok to hunt. They'll almost guarantee you'll bag something, one way or another. Other places, you might not shoot anything live, you just run trap and skeet, or "sporting clays". They're mostly for guys like me who aren't interested in wild game, but would like to be proficient with a firearm, so we play games with them.
Thing is, it's kinda tough to "rent" or "borrow" guns, unless you personally know somebody who'll do it for you. Then, it's pretty rare that you can just go hunt something for the thrill of it. You have to take what you get and deal with it. Either give it away, eat it, whatever. Just shooting animals for sport is frowned upon, even if you bury it. Then, because it's wild, not too many people want what you kill even for free. Plus, there are licenses - the state isn't going to let you do anything for fun/profit/survival without taxing it or putting fees on it somehow. The bad part there is it's not jsut a matter of paying a fee - they only issue a certain amount of licenses for a certain number of kills, because there's population management going on. So, you apply for a license, and you may or may not get one. It's a lottery. 100,000 people apply, and depend on the estimates of the herd size for the year they'll issue X number of permits.
Finally, there aren't too many "big" animals you're allowed to hunt. Just off the top of my head, there are deer, bears, elk, moose... everything else is pretty much birds and small game. There aren't a huge number of bear, elk or moose to be found, so there are only very limited licenses issued for those. Deer are common as rats in some states, like here in Michigan. If they didn't let them be hunted, many would simply starve to death because there are more of them than there is food for them to eat. The annual thinning here in Michigan puts about 30,000 deer kills on the wolves, about 10,000 on vehicular accidents, and between 30,000 - 50,000 to hunters. Still leaves a population of around a million all the time. That's just Michigan. Other northern states have their own stats.
Smaller game aren't as tough as you might imagine, given the right gun and ammo load. Duck, goose, pheasant and rabbit hunting are popular here, and they're all good eating. Gotta learn to use a shotgun, but it's certainly not insurmountable. A few days shooting trap and skeet, and you'd be in reasonable shape for birds. Just gotta learn how to lead them.
I don't know if any of that is useful, but seriously, Google is your friend. Hunting is a big sport here, and there's tons of info on it. You're not going to have to dig to find it.