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No, but I would just offer the counterpoint that you would miss so many of the highlights of the route, at least personally when I did it a few years back. I drew my own route to hit places I wanted to ride and stay with some friends along the way, but massively recommend all of the black mountains/gospel pass, wye valley, the peaks, north york moors, the lakes, the trossachs - you don't have to take extreme climbs in any of them, but these are some of the most beautiful parts of the UK and would be very reluctant to lose them from a ride like this. The Northumbrian/Eastern borders are both lovely, but personally far less interesting/beautiful than what you'd be missing out on. Obviously I wasn't doing it fixed, which clearly impacts your approach to hills, but from a purely scenic perspective I would recommend taking in the hills if at all possible.
I've been brewing the idea of doing a LEJOG, fixed, in about 13 days, taking in a route that minimises climbing, like here:
https://cycle.travel/route/lejog_east_coast
It has the benefit of less climbing while also hitting lots of stops where I have friends and family.
Has anyone done this route?