I always fly as high as I can, then charge into the anti-dragon shield, and flip into a human form as soon as the screen starts flashing red. Usually this results in me landing on top of either the zeppelin, or somewhere on the zeppelin dock. Though I did get killed once that way (flew too far into the zone).
I always try to picture what the guards on the dock think:
Guard 1: Oi, look. A wyvern.
Guard 2: Looks kind of big for a wyvern.
Guard 1: So what, it'll just fry itself on the shield... hm, where did it go?
(((OOOOOMMCH!!))) - Dragon Knight lands on the zeppelin dock, crushing a couple crates and putting a hole in the dock right next to the ten holes he put into it during his previous ten visits.
Guard 1: Oi! Where'd you come from?
Dragon Knight: I'm just dropping by.
Guard 2: Well stop it, because we're sick of fixing the dock.
Dragon Knight: Then turn off the shield.
Guard 1: Why?
Dragon Knight: Um... eh... look, just turn it off.
Guard 1 and Guard 2: NO!