Indeed, Brick needs some type of blessing.  It is evident that Brick suffers from so much in way of paralysis and seeking to move into "oblivion" from alcohol that he needs something.  I am not entirely certain that the blessing he needs can come from his father.  Big Daddy is more driven by his own pursuit for truth.  While he would be willing to give his blessing, Brick is so emotionally isolated and withdrawn that he would not know what to do with it.  In Act II, Big Daddy comes to the point where he says that there would be little wrong in a relationship between Brick and Skipper.  This is the closest that Brick is going to get in a blessing and yet it does not change him or cause him to open up emotionally.  It is in this realm where I think that it is significant for Brick to experience a blessing of some sort.  Yet, I think that he is so emotionally removed from any transcendent hope or redemption offered by a blessing that it would not change him.  Brick's paralysis is so embedded within him that there is little opening for him to evolve from a blessing.  It is here where Williams has constructed a character who requires a blessing, needing something in way of redemption and hope.  In true Williams fashion we have a character who needs something, but is not in a position to appreciate it even if he was to receive it.