If you don't want to owe him anything...how about if you paid him petrol money? Then you don't owe him anything, because you've given him money for the lift.
Well, I guess I would still feel like I did. Like...I want to get to this place on my own, I don't want to be there as a result of him driving me, even if I gave him money. You see, stubborn! I can't help it