Yes, if all the top QBs are out of reach, my plan A is to trade down for next year picks.
Problem is, outside of WRs from Clemson, teams usually only trade a future 1st for QBs. What you are suggesting is kind of a catch 22, a player who isn't good enough that we want him but is good enough a team wants to trade up for him.
As an aside, I really can't see the Steelers doing that, that's just not how they operate.