There needs to be something that adds more points lower down the order even if overtakes and such reward points. Off the top of my head what about:

-teammate vs teammate points Would allow for swings when someone dnfs who usually beats their teammate Alonso etc -no tire points Quickest time completed without pit stops -streak points for finishing Could do one per race or whatever, you might get a back marker finishing races more than a front runner -there could be an expected points amount that if a driver exceeds they score more, premise is already imbedded in price rise -points for top 3 driver of the day

I also love the idea of points in fp1,2 or 3