I've been thinking that a good option, one the might appeal more towards the drivers, might be to offer to change the destination (to some random airport hotel or something) in the app once your at your terminal. The app recalculates the fare but you'll still get the flat rate (up to 30) and this way the driver will feel much better about doing it.
(In my experience they're always more willing to make stops, or agree to interesting requests, when it's all done by updating destination in the app. Maybe because they get paid more? I don't know because I had a ride come out cheaper after adding a stop and changing destination, as the driver had requested.)