We love the Lakes and TBH will be out on the hills in most weather.
Our DC are still quite young though and we're not prepared to go upwards with them on days when it would be dangerous, in extreme weather or when the cloud is low.
What do you do in the Lakes, if you're generally hardly souls, but the weather is too bad to do a mountain. DSs love climbing a mountain, but aren't so keen on a "boring" low level walk.