Hitting comic book store shelves today, Ultimate Comics Fallout #4 introduces the world to Miles Morales, the African America/Latino replacement for the deceased Peter Parker, and while you can't play him in Spider-Man: Edge of Time you can definitely dress like him.
Ah, the Ultimate universe, Marvel's way of making sweeping changes to its established canon without actually changing anything significant. Peter Parker is dead, but he's not the real Peter Parker, so that's OK. In his place comes Miles, taking up the mantle of Spider-Man with a few notable wardrobe modifications.
And wouldn't you know it, you can wear that brand-new costume in Spider-Man: Edge of Time when it comes out next month. You won't be Miles. You'll just be wearing his clothes. It's amazingly appropriate when you think about it.