This will be a list of places we have visited (initially in The National Trust) which have designated cycle routes.
Ickworth House near Bury St Edmunds, Suffolk. (Property Link) "A cycle hire hub is located in the main car park and offers pre-bookable tours in the winter. The multi-use trail is ideal for exploring the estate by bike.” See the entry on the National Trust properties section.
Wallington, near Morpeth, Northumberland. (Property Link) See the entry on the Dolls Houses I have visited section.