My wife and I have a 16-day trip to France coming up in a few months. I've reached a travel impasse and need your help. After a few days in Provence, we spend one night in Sète, just to see a beach on the Mediterranean. The next day we take the morning train to Carcassonne, where eat lunch and tour around until about 17:30. Then we want to go to the Dordogne area, rent a car and explore for three days. Since we are tight on time, I thought we would take the train to somewhere in the Dordogne where we could spend the night and then rent a car the next morning for our visit to the region.
Since we are in our 60s, I'm looking for a short walk to the hotel from the train station. I would also like a car rental place within a couple of km. from the hotel. I've looked at Cahors and Brive-la-Gaillarde as possibilities for train stops with car rentals. There may be other stops I'm missing. (Souillac has a car rental service, but it looks like it is on the outskirts of town.) The farther north we go, the later we will be arriving. We'll be arriving on a Thursday night and returning the car on a Sunday, so I need a rental place that is open on Sunday. (We take the train to Tours on Sunday, if that helps.) Thanks in advance for your help!