Just my initial thought, and I haven't done the logistical work to see if it's airtight, but I think it puts undue pressure on OOC scheduling for a team to play two conference games in the first four weeks.
Traditional Notre Dame matchups aside, most FBS OOC scheduling happens in the first four weeks (although FCS teams in the South seem to be readily available in November), and therefore limits available opponents for the teams selected to play two September conference games. Unless we limit that second game to Notre Dame opponents, which is unfair, in my opinion.
So I would propose a slight tweak to your schedule, with seven (instead of nine) games happening in the first four weeks. I also don't particularly love a week 11 bye. This is what I came up with:
Week 1. 1 Conference Game (1 cumulative)
2. 2 (3)
3. 2 (5)
4. 2 (7)
5. 5 (12)
6. 6 (18)
7. 6 (24)
8. 6 (30)
9. 6 (36)
10. 6 (42)
11. 7 (49)
12. 7 (56)
13. 7 (63)