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If I were set on doing something approximate to that, I've go for something like this
https://www.strava.com/routes/11222034
(disclaimer - knocked up over 5 minutes - do not attempt without checking the route thoroughly first!)
It is a pain because going from coast to coast across that particular part of scotland isn't easy.
If I wanted to ride 1000km in Scotland, I wouldn't do in that part. I'd go further south or further north tbh.
or do island hopping via the ferry.
Fair enough.
Are there perhaps some alt routes for that section?