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For Lakes, you can ride up the mine track from Mosedale (little cafe here in a barn, which is probably gonna be open, its good and they will happily fill water/tea flasks up if asked nicely), straight over to the former youth hostel at Skiddaw house (you ride past it after doing a circuit to the north). Either TBH, the road around it is nice, (used to live on it) and the scenary quite different from the lakes that most people know, much more rugged and harsh in winter, then you've got a short steep loose gravel ramp up toward the hostel, but its a wide track, always busy, you'll have done much much harder bits of riding in Sutherland and Assyant areas.
The bit south of Keswick past the stone circle and then on the tourist track (can never remember what its called, but its super busy in summer always) is fine, and ascent of Helveylln is not to be missed, you'll be pushing and carrying a fair bit as its reinforced steps a lot of of the way, and strenched out the rest (thousands per weekend in summer do it). Its a crazy nice bit of hill to try and get up/ride down though. High street the same, think your going up the steep carry/step section, then riding down the shallower grade which is mostly fast, loose and fun.
Cool, I have taken on board all of the valuable comments above and tweaked the route accordingly, I think.
Then I added a totally stupid part over the Lakes.. Will come back to it to assess how stupid it actually is
https://ridewithgps.com/routes/35789379