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This route from Oxford to Blenheim Palace sticks to the Oxford Canal towpath for the majority of the route. It is very pleasant on a sunny day and much more quiet than the NCN route: you won't encounter any cars until reaching WoodStock Road.
However, note that the towpath surface can be quite rough at times, and you will have to share space with pedestrians. I still wholeheartedly recommend if you ride a hybrid or mountain bike and don't care about reaching your destination fast.
I saw the new box inviting to "Join in". While I was on the Oxford city page, I tried to log in with my cycle.travel username and password and got the following error:
NoMethodError at /city/page.context.path
undefined method `view' for nil:NilClass
This path is mapped with surface=clay. However, on the cycle.travel map it is rendered as a paved surface. Let me assure you, it can be quite muddy ;-)