Try the Holiday Inn Express :
39 AVENUE DU GENERAL DE GAULLEBLAGNAC, 31700 FRANCE
Front Desk: 33561310600
I booked a room there for one night a few years ago for a flight the next morning, returning in 11 days. I was able to leave the car in the private car park behind the hotel, take the navette to the airport in the morning and, on my return, pick up the car. It must have been a special package - worth looking to see if it still exists.