I’ve done a few great routes up that way. There are a few classic rides in and around Danby that appear in all the route books. We did a route that basically follows the skyline in a circle that passes through Danby, Lealholm, Glaisdale, Danby Beacon and near to Botton from memory.
Also done a route that starts at Goathland, passes the Hole of Horcum and winds over the moor to near Pickering then back again. Both lovely rides and could easily be combined over a couple of days.
I’ll try to dig out my guide books but the routes round there are well know and should be easy to find