At least the members of the board are US citizens and stakeholders in the decisions they make. I’d rather put my faith in them than the foreign entities that hold our debt.
I believe that the fate of our economy lies in the collective action of all the players. I think too much credit (or blame) is given to the federal reserve board.
As for unaccountable. Don’t these people (at least the chairman) have to be approved by Congress ? If so, they are just as unaccountable as the Supreme Court.