In Red Dead Redemption 2 you can also find the Legendary Beaver. You can find it by going west from Van Morn.
The Ram moves within the area marked on the screen below.
What weapon to hunt the Beaver with?
One accurate shot, no matter what weapon, will kill the animal. You can shoot at him from a close distance, it is too slow to run away from you.
What does the fight with the Beaver look like?
The Beaver will not attack you, but when frightened, it will run away from you. However, he is so slow that you can catch up with him calmly.
Remember not to enter the water. Stand on the shore and aim at your opponent. You don't have to worry about losing the fur. Even if the water takes it, you will be able to create clothes.
What can I do with the Beaver fur?
If you go to the Trapper you can create:
Legendary Beaver Flop Hat - you need boar and beaver hides and some feathers.
Legendary Beaver Cavalry Gloves - you need beaver hide and 18 dollars.