Motels between Bordeaux and Thiviers

Help please! We are arriving with my 90 year old mother for a family trip at Bordeaux airport around 9pm. We need to be in Thiviers early the next morning so I want to put in as much mileage in the evening before. I am therefore looking for a cheap motel between Bordeaux and Thiviers with ample parking which would still be open when we arrive between 10 and 11pm or perhaps later. In other words we want something modern and open rather than some small family hotel that we can't check into late. It is really only somewhere to put our heads for the night. Any help would be really useful. Thank you!