Seems workable to me.
Just replace that first season game with a season opener, friendly or not. It could be against someone from the other conference since we play them less. You would just cross the 8 blue teams with the 8 red teams and it seems a match for every league/conference/etc. If you want to make it even better, and if it would be a special season opener or so, by all means give a small profit for both teams (I mean a small amount, let's not get greedy), since it would mean the fans coming back to the new season.
There's absolutely no reason to have an "abomination" week in the middle of the regular season that actually forces you to get worse, regardless of what you can do (can't see the challenge in it, like mentioned before).
Then yes, move that 1st game to this open spot and make it a "regular" regular season, like it should be.
That would be a major improvement in my view
