This time of year, the Lake District tends to be one very mountainous car park.
Personally [and I am financially constrained] I would use the likes of Premier Inn & Travelodge...or camp.
Travelodge have spots around Keswick, such as Penrith, two near Carlisle, and Cockermouth...easily accessible with good roads.
Keswick itself is a good access point to the Lake District, without getting too fouled up with traffic issues.
[M6 gets you there, easy]
For Scotland, take a run up the A9 to Inverness, then work back down south?
The A9 is a nice drive, if rather long-winded....Inverness is a good base, but don't confine yourselves to the area to the south..take a look at the Black Isle?
[We used to book a holiday 'roof-on-the-ground' up by Rogart....halfway up the side of a mountain.. yo can really appreciate the benefits of isolation.]
Whilst in Inverness, leave the car along for a day, take a train ride out to Kyle of Lochalshe, for a change?
Take a look along Loch Ness?
Personally, if I see a road, and ask, 'wonder where that goes?'...I tend to go and find out.
Very distracting, not good if one has a definite aim in mind.
[Tend to do that if stuck in traffic jams]
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