Yeah, I always just fly straight to the cargo and scan it; Arjuna never gets close when I do that at top speed. Once I've scanned the cargo, the first wing of ships is in the area and waiting to be scanned, and the others follow pretty soon. I usually stay right with the ships, scanning one wing then making way straight to the next, and I rarely ever get a warning about Arjuna.
With the Eva, just stay under it. Fly towards it as it comes in, and try to stay with it as it passes. When its speed gets down below your own, stay under/behind it and fly with it as you scan it.
Scan the Lucifer as it passes by you, and stay behind it as the scan finishes. Unfortunately you can't avoid what happens next; stay near the Lucifer and a wing will fly out and detect you. You're not faster than either of them, so just keep dodging until your jump drive comes back online, at which point fly through the swarm of fighters so they have to turn around to face you, and jump out. By the time they start shooting again you should be in the jump vortex.