I bet whatever happens, they are still fast enough to get the job done. Did a little checking on speed versus temperature to see what the fastest mammal in Alaska might be on a good day. Found one at number 7 on the top ten list.
1. Cheetah - an animal built for speed. The Cheetah is indigenous to south-western Asia and Africa. 71 mph = 104 fps. In 2009, a Cheetah from the Cincinnati Zoo set a world best time of 6.13 seconds for 100 meters. Not sure how fast the record is for the cheetah shivering in the Anchorage zoo.
2. Pronghorn antelope 57 mph = 83.6 fps University of Idaho zoologist John Byers has suggested that the pronghorn evolved its running ability to escape from extinct predators such as the American cheetah, since its speed greatly exceeds that of extant North American predators.
3. Blue Wildebeest (brindled gnu) 50 mph = 73 fps Evolved to outrun cheetahs, lions, and hyenas.
4. Springbok 50 mph = 73 fps Ditto on predator-prey evolution.
5. Lion 50 mph = 73 fps
6. Brown hare 48 mph = 70 fps
7. Red Fox 48 mph = 70 fps Finally got one on the list you could find in Alaska! Bet they slow down when it hits subzero temperatures a lot more than your bow!
8. Grant's gazelle 47 mph = 69 fps
9. Thomson's gazelle 47 mph = 69 fps
10. Horse 45 mph = 66 fps
I figure that most of these speedy animals would not survive a weekend in your unheated cabin, and they would become "stiff" as the title character in "Weekend at Bernies."