Superman made the mistake of underestimating Doomsday early on. He was also sidetracked making sure civilians weren't harmed, which opened him up to Doomsday's attacks.
Black Adam is pretty close to Superman's level, and he won't let something like collateral damage take his focus away from bringing the pain to his enemy. It wouldn't be easy for him, but I think he would have done better than Superman in stopping Doomsday.