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@bothwell
You could use the LOL Steam Ride route from London to Oxford - GPS lives here: http://www.aukweb.net/events/detail/14-599/
From there, if you get onto National Cycle Network route 57, that will take you to Northleach, where you'd need to devise your own way to nearby Cheltenham, which is about 13 miles. NCR 57 is supposed to go the whole way from Welwyn Garden City to near Gloucester but is sadly incomplete and is missing the section between Oxford and Witney, so you'd need to get creative between those two points too, though it's only 12 miles. Sustrans warns that some of the route is off-road, but I've had a good look at Witney to Northleach and it's all lanes. NCR 57: http://www.sustrans.org.uk/ncn/map/route/route-57