This is found on Mission 13 and can be completed on Story mode. The medal is obtained by
I can confirm that you can reload the checkpoint if you hit anything and the checkpoint is right at the start of the run. There any no enemies in this section so damage is only taken by hitting the walls
I used the Tie Interceptor the Propulsion Engine everything else doesn't matter for the achievement.
I also find it much easier to Fly with Southpaw and inverted Y-axis and having Roll on the Right Stick makes this much easier. I've all got the Pitch, Yaw, and Roll sensitivities at 100%, this helps mitigate the lost maneuverability from the propulsion engines
Firstly, you can make it within the allotted time with full power in the engines and mostly at half thrust. The extra acceleration helps a bit but generally speaking, you won't need to touch the throttle.
The run is divided into distinct areas with a beam of energy running through the middle. There's machinery surrounding the beam with gaps that you can fly through.
The directions I took are: RIGHT, UNDER, RIGHT UNDER, RIGHT then through the circle hole at the end.
The achievement won't unlock until you get slingshotted out again.
I hope this helps.