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See if you can route to Banbury. You can then take the Oxford canal to near Rugby & then the Grand Union to LI. That time of year, you'll need good fairy-resistant tyres though.
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Thanks AWL. Now I've upgraded the bike( gear wise )I found I can only fit 25s as the largest which may not be suitable for the canal run
Had a look at the route via National Rail and Warwick seems to be my best station. Any good routes to follow to Long Itchington from there.
Oh and any idea how long it would take to ride at a steady 10k an hour.