Always end your turn in soaring and DO NOT PUSH. Always make sure you have enough movement to retreat a good distance away and into soaring after your attack. Also, use your range. As tempting as it might be to run in and hit someone with an object, you can't risk having Superman take 3 clix of damage. Stay far away from outwitters. As far away as you get, because then can Outwit your soaring and bring you back down. Also, try to take out flying figures with running shot, because they can use their last movement point to enter soaring and attack you at full range.
Some more advice, if you're in an indoor map, invest in some barrier pieces. Nothing like putting a barrier around superman preventing him from being attacked(Unless they have their figures set up so one figure can destroy the barrier and the other can attack.