The answer is objectively Alaska due to the miserable cold- unless you could afford to have it as only a summer home
Guaranteed lack of miserable heat, also nice landscape, and that Permanent Fund thanks to the oil.
Anchorage and the Panhandle aren't even that cold, either.
The average high in Anchorage in January is 22 degrees- no thank you! I wouldn't want to live somewhere that regularly sees sub-40 high temperatures in the winter. We get cold occasionally, but we usually can count on at least one 60-70 degree day a week, even in the middle of winter. Winter gets depressing without that.
Then why single out Alaska if your threshold for dealing with weather is that low?
That's actually a fair point. As someone who has the same weather preferences as ER, there are quite a few states that are too cold for me, so I suppose something else would really have to be the deciding factor.
So, someplace that is cold, doesn't have any major cities, and has boring landscapes... Maybe North Dakota?