You'd be a fool to set foot in a transport helicopter on Caspian Border. Engineers can get lock on with stinger/igla before you're 10m off of the pad. You could probably do a low run behind the tree towards antenna, as long as there weren't any enemy engineers on that side of the map just yet. You'd still be a sitting duck for both enemy fighters.
The cereal bowl design of that map is about the worst terrain possible for helicopters.

I'll definitely be looking for a map with rolling hills/mountains in the middle to get my copter unlocks come release, places where I can hide behind/beneath terrain features to get to/from most of the important points on the map.