I really like that idea, but I would tweak it a bit. And to illustrate, I'll use the Rams 2021 schedule.
This year the NFC West plays the AFC South. So this year the NFC West would draw their 17th game from the AFC North. But rather than match teams up that are in the same slot I would use this as an opportunity to reward teams for winning their divisions.
I would have 1st play 4th and 2nd play 3rd.
So the Seahawks would play the Bengals.
The Rams would play the Browns.
The Cards would play the Ravens.
And the 49ers would play the Steelers.
AlbaNY_Ram