My History is:
World1: 2 D3, 6 D2, 2 Low D1
World2: 1 D3, 5 D2, 5 Low D1, Big6
World3: 4 D3, 4 D2, 5 Low D1, Big6
World4: 1 D3, 7 D2, 3 Low D1, Big6
World5: 1 D3, 9 D2, Low D1
World6: 3 D3, 3 D2, 4 Low D1, Big6
World7: Did not go to D1
World8: 1 D3, 9 D2, Low D1
World9: 1 D3, 6 D2, 12 Low D1, Big6
World10: 1 D3, 8 D2, Low D1
But I don't think I ever had as a goal to make it to D1 as fast as possible.
Looking at my results, I would say that if you did 1 season D3, then move to an already good D2 for 4-5 Seasons you could get a good Low D1, and with 3-4 Good seasons there, you could get a D1 Big6. I would think that or 1 D3, 8 or 9 Good D2, D1 Big6 (but not a good baseline team).
I personally like D2 the best. There is no artificial baseline to hold any teams back and you get decent resources for recruiting. Which is why I have spent more time there than anywhere. I now have 6 D2 teams and 1 Low D1 team.