The road will be cleared but it won't be the highest priority. (I have a friend who lives near there, and who really curses the snow for the number of days he can't get out to do things).
Jersey cow probably wouldn't like the weather, but there are cattle who survive all the year on Yorkshire Dales (which doesn't have quite such extreme weather). Even they are normally taken down to the coast for calving.
Have you looked at it on Streetview yet? The minor road to Coalcleugh is better than expected, but note all the horizontally striped poles standing by the road - they're there to help you find the road in snow and tell you how deep it is. The Google car went through in March, but there's still snow lying in the shadow of all the walls.
The house itself is about 400yds from the road, reached via a rough track with a thick band of grass down the middle. But you do have 3 trees! And you're only a 45min walk from the pub.
Don't watch this video else you'll really want to live there! A winter drive on the A689.