I'd recommend doing this achievement once you have gained the Feathers Forever achievement (all feathers) as this make all other achievements in the game, including this one, super easy. I have posted a guide to getting the Feathers Forever Achievement below.
You need to climb to the viewpoint at the top of the mountain at Hawk Peak. If you head North and in towards the centre of the map you will start to climb, once you reach the icy parts you will know you're in the right area. If you have all the feathers this is really easy. Just remember to use the hot spring pools to replenish your frozen feather. Following this video will show you the route I took.
Hawk Peak Achievement starts at around 5:00 into this video:Part 2 - Only You Can Prevent Campfires Achievement, Crispy Achievement, Hawk Peak Achievement and Photo Friends Achievement
All Feathers guide:Part 1 - Feather Finder, Remember This Day Forever, Not a Scratch Achievement & Feathers Forever Achievement - Doing this first will make the rest of the achievements easier: