Our family of 4 is visiting in August. We are deciding between 1 week in Sarlat in Dordogne or near Gordes in Provence. Our girls are 15 and 12. We want to rent a house with a pool and be able to visit the smaller towns, have some outdoor activities, good meals, enough tourism that there is something to do but not be overwhelmed with t-shirt shops and simply relax. We are spending 1 week in the country and 1 week in Paris. We thought of doing 5 nights in Dordogne, 5 in Provence, and 4 in Paris but that feels like too much.
Based on my readings to date, both areas are fairly similar including summer temperatures. However Provence appears easier to get to via train from Paris, has access to larger towns (eg Aix and Avignon if desired). Dordogne has canoeing/kayaking on the river that Provence does not.
What are the other differences? How would you decide? If you could only do 1 location, which would you choose and why?