Rushing after calling a Technical

[Hawks Coach]

Lets say, for arguments sake, we don't know we got the FTs backwards until we are ready to put the ball in play (NCAA rules). A made both FTs, B has taken two FTs - now we have a decision to make. Who gets the ball and where?

If A missed the second, we have AP no matter what at this point. But would you use AP if A had made the second of the FTs, just because you didn't catch your mistake until after B shot?