Would you say that Goodman Brown was heroic in the story "Young Good man Brown"?I have to argue either he was or was not a hero in the short story....

I'm afraid I'll have to disagree, unless you define the hero as the main character.  Since he's just about the only character in the story, he would "win" on that account.

But his behavior is not heroic as I see it.  Instead of facing his fears, investigating the visions/stories/whatever he experiences/ to see what is "real," he assumes that what he experiences in the woods, and remember it's not clear that he experienced anything, is true.  If he were in any way heroic, he would have fought through these experiences to see what was true, and then acted upon what he found.

Instead, he takes the role of a coward, believes the "easy" things he thinks he saw in the forest, and that faliure destroys his life.

Nothing heroic here.