That seems like a pretty complicated format.
Why not just go with the ESPN, where:
Round 1 10 pts
Round 2 20 pts
Round 3 40 pts
Round 4 80 pts
Round 5 120 pts
Round 6 160 pts

It has the same effect of your teams accruing progressively more points for you throughout, but it doesn't force you to pick dogs to get ahead.
You get ahead by selectively picking against the chalk and you have a chance to re-evaluate at each stage.