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Great! Starting from Rochecorbon, wandering through the vineyards to Vouvray, then going to Reugny passing by Vallée de Cousse, coming back to Vernou and heading to Noizay then Pocé you can find very calm places throughout the countryside, plenty of small roads to avoid big départementales roads. Glad you enjoyed the place :)
Edit: also some almost hidden castles, some rivers, beautiful big properties, etc.
Sadly I didn't get to see that part on my brief stay, but I will be back for sure. I did end up cycling through Montlouis sur Loire, which looked pretty good and isn't too far from Tours. But I do need to check out the north bank places like Vouvray, Rochecorbon, Noizay, Pocé sur Cisse, etc. - got similar advice from a few people I met in Amboise, so that bit is next on the agenda.