Frankly, you hit the proverbial nail on the head.
Problem is most men who can find a gf and do not need to pay for it, have already done that.
Here men pay for time, it is a lot like taking a taxi. You pay so much an hr regardless of what you look like, or where you are going. Extra for some things you want to put in the trunk etc.
If you take the same taxi to the airport on a regular basis maybe you can work something out.
If you want more, rent a car
If you want to keep the car all for yourself, look for a long term lease.
If you want more, consider marriage
But in general, the infrequent traveler is just hiring a taxi by the hr.
Simple.
The OP sounds like he will create drama, so I would guess he should be paying above the normal rate.