Try using the gravity belt and the turbo booster.
With the gravity belt equipped its safest to fly about 3/4ths up the screen. The gravity belt helps with your reaction time: you'll be able to drop below high zappers pretty quickly. Then get back up to the 3/4ths level as soon as you are able. At that height you can jetpack above any mid-level zappers.
The turbo booster is useful because you're invulernable every time you hit a boost.
Alternately you could try using the de-zapinator, but I didn't find it too helpful since it is unreliable.
It really just comes down to having split-second reaction times.