I read Clark's question as an expression of how lost he is. Batman has a plan, Batman always has a plan, and Clark needs to hear it so he knows what to do next. Because no matter how awful you feel when someone you cares about dies, the world doesn't stop. Yeah, I know this is the most hackneyed, obnoxious possible way to state the thing, I'm sorry I can't find a better way to phrase it.
Clark's not dealing with Bruce's death well at all in this scene. He's incredibly awkward. Compare his question to Alfred, for all that it's asked out of genuine concern but terribly worded, to Diana's equilibrium.
Someone who knows Superman's character better than I do could say how likely or otherwise a reaction all of this scene is.