The main thing about this matchup is you need to remember that you have to work harder than he does. If you start throwing out Quick Fire or Low Shots on reads to hit ground laser sweep, air laser will punish. A good zoning Supes will mix in some Heat Blasts as well, which you can Low Shot under on read (but often not on reaction if you're online). Throwing out another low shot though after punishing one blast will usually cause you to eat an air laser even at full screen, because the recovery on low shots is so high that Supes has time to jump, startup, and sweep the eye beam all the way across the screen before you can block again.
The problem with a zoning war in this matchup is that Supes will gain meter much more quickly and his attacks do more damage, especially if he pops trait. If you're patient you can take him out with pure counter-zoning, but you pay a lot more for one mistake than he does. I actually prefer in this MU to get up in Superman's face as much as I can, close enough to start throwing D1s at him to preempt any f2s.