There have been a few superhero crossovers over the years - but which superheroes they've been I couldn't say. I'm sure there's at least a couple of JL Xs, but Spiderman doesn't ring any immediate bells. Which isn't to say they aren't out there.
Batman's been popular. /me waves to Lara.
But don't let any of that stop you. Your story will have a different take to anything done before.
ETA: I remembered
Robert Culpepper wrote a couple of Spiderman Xs.
LabRat