I may be wrong, but if you start as a pistol with a braced lower, swapping a 16” upper shouldn’t change the legal classification of the firearm.
You can have a pistol with any length barrel. If it goes over 26” it may be an AOW but that doesn’t change it to a rifle.
But for the OP, shouldn’t matter, you can legally shoulder a braced pistol, period. Now if you go to a range that doesn’t allow braced AR pistols they probably won’t give a 16” build a second look.
I think the big question is whether your lower was registered as Other or Pistol. If it’s Other ( purchased as a stripped or complete lower) then build it in any legal configuration you want. It’s still Other. But if it was purchased as a complete pistol, will adding a 16” upper legally make it a rifle? I doubt it.
I guess what I’m trying to say is if you’re worried about the legality of using or operating a brace, going to a 16” barrel isn’t gonna change anything. Unless that lower was registered as a rifle and just happens to wear a brace. But then any pistol upper would make a rifle lower an SBR.