I would set it up as follows:
Q1 - knockout-top 16 advance, 1 point for fastest lap
Q2 - knockout-top 10 advance, 1 point for fastest lap
Q3 - hot lap shootout, 10th - 1st, 2 rounds, 1 point and pole for fastest lap
Repeal Parc Ferme due to safety with weather changes.
Then race points:
12
8
6
5
4
3
2
1
But then again, I think fuel strategies would lead to on track passing, and get rid of the parc-ferme rule would also add more unexpected things, thus having more action on track.
Or, they could just make Q3 a low fuel run, and let them fuel how they like after qualifying...