Ross, you don't know as much as you think. In 1995 Marvel and DC did a huge crossover called, DC VS. Marvel, in which twin gods from two parallel universes forced the heroes from eaach universe to fight each other. Superman, who didn't want to fight a hero, basically toyed with the Hulk after luring him to the Grand Canyon so no innocents would be hurt. After humoring the Hulk for a while, he realized he needed to finish things so, with ONE PUNCH, he put the Hulk through the wall of the canyon.
Superman is nearly invncible and gets his power from the Sun.
The only way the Hulk would have a shot is if he had some Kryptonite. This is conceivable, as the Hulk no longer has the split personality thing. A few years back all of the different personas of the Hulk combined into one. He stays the big green Hulk all the time, but has the personality and brains of Dr. Banner, along with all of that scientific knowledge. A dangerous combination for Superman, but Superman is...well...Super.
All in all, a good fight, but in the end Supes would win.
DW