We booked a hotel near Chambery and drove there after the game, it meant we only had an hour or so to drive on the Friday. We arrived at the hotel later than expected as we hadn’t quite bargained for the 3hr holdup after the match.
We collected the car from Budget, the desk was in the airport...
If you’re really insistent on doing it on a tight budget look at it as an elaborate away day rather than a holiday. My group flew out first thing Thursday, drove to Marseille, had food and drink, went to the game, drove to the hotel, flew home Friday. It was long but totally worth it.