what does oedipus reaction to his downfall say about his courage?

Like all Greek tragic heroes, his destiny is controlled by Fate, a Fate over which he has no say.  In the end, he "bounces back" in a sense making sure that his children are cared for by Creon and maintaining some sense of dignity.  Even though his "hubris" has gotten in his way, he becomes somewhat humble as he leaves his children behind, but he is still strong.  Facing life as a blinded man (he took his own eyes) shows a certain amount of courage since he will have little help - in all likelihood - in the future.