From what I've noticed, Rogues use TWF for the extra chance at SA and not for the extra d6 damage. And they tend to want Extra Attack not for the extra damage but for the extra attempt at SA without having to TWF or CBE so they can free up their Bonus Action for Cunning Action. Basically Rogues just want SA as reliably as possible, and the extra damage is more a byproduct for most Rogues. Min/Maxers are the exception.
So i was thinking, why not give the Rogues something that's essentially;
Reliable Attack/Second Change: When you miss with your Attack Action you can attack a second time.
That way the DPS cap of the Rogue doesn't actually go up, but will give Rogues that extra change for SA, which is what Rogues are most interested in. And you side step Extra Attack which people seem to be weary of.
Rogues have a feature called Reliable Talent so it's keeping in theme. And I think it's more in theme that their combat advancement focused more on freeing up your Bonus Action for Cunning Action and getting SA rather then doing extra damage. Plus I just think there's something roguish about saying "I get to try again just because I'm a rogue."