Cotswold District Council’s web site includes some maps of recommended cycle routes:
“Britain’s largest Area of Outstanding Natural Beauty lies mostly within Gloucestershire and offers a fantastic opportunity for cycling.
The rolling hills of the Cotswolds dip gently down to the Thames in the South East with a steep scarp slope along the north western edge, providing a great variety of terrain to explore – from easy to challenging. An extensive network of country lanes link the famous Cotswold villages and market towns leading away from the hustle and bustle. There is a tremendous choice of routes with an ever changing view. Miles of bridleways and byways offer plenty of scope for mountain bikers. Ancient green lanes mixed with farm tracks are all set in the heart of beautiful Cotswold countryside.”