I just got this on Xbox 360. I used these cards:
— Any outfit with all abilities
— All codex abilities
— Infinite fire arrows
— Enemies give food
— Improved composite bow to the max
Chosen Difficulty: Easiest
All you need to do is find two or three crypts in the first few days, which is not difficult as the skill reveals their location. Enter the crypts with the food meter full (I almost starved to death). Find all crypt artifacts and go to the next crypt until you accumulate 10 artifacts.
After you got 10 artifacts, you just need to wait the ten days. Endless fire arrows help to kill animals, these arrows also helped me when i was freezing to death, i just shot and walked on top of the fire, then used bandages (
) to recover health.
Find a camp, clear all enemies. Choose a campground that has a bonfire barrel, a house, and a helicopter bonfire. When you feel cold, stay close to the barrel. When you feel hungry, go out to kill animals and then come back. When the snowstorm comes, hide in the house.
Many say it takes two hours to survive the ten days, however I took less time. 99 minutes. When the morning of the 11th arrives, make sure you have the materials to call the helicopter with the bonfire next to your house. After the fire is burning, it will take about a minute and a half for the helicopter to arrive.
On the easiest difficulty I didn't see any enemies while the helicopter was coming. At the end, climb the rope and you will earn the achievement. It's easier than it looks. Good luck!