RE: how the indians hunted
There's not much out there on their hunting tactics that I've found. They did "hunt" as you've described and they were very happy with it. They would use wolf hides to chase the game over cliffs.
They also would skin a deer, put on it's hide and get close enough to deer to take them with bows.You might get yourself shot today if you did that.
There's a storythat took place here in Ohio of 2 native americans havinga test to see who could bring in the most deer hides in one night. Tecumseh (?)was one of them and the winner with I believe 30+. Also here in Ohio after it was settled and the deer started becoming harder to find there is an account where the N.A. would, in the spring bring in does and kill them by making fawn sounds. They were strictly warned to stop the practise.
A few other things like scent control and cleansing, but not much more.