This can be achieved by taking the Ferry from Port Ephramd to Nashmau, taking the North exit into Caedarva Mire and heading to the tunnel at (I-6) into Arrapago Reef.
Keep Sneak and Invisible up due to the Chigoes and Treants in the Mire. Use caution around the imps as they have True Sight. If you want to avoid a few mobs, it is recommended doing this during the day as the Jnun in Caedarva Mire are asleep during this time (although also can be easily avoided during the day).
If you have blm main/sub job high enough to escape yourself, you can simply take any Illusi Atoll assault mission. Warp to the assault entrance area and when you escape, you will pop right where the Arrapago zone is (I-6 on Caedarva Mire map).
Find the ??? at (H-10) on the first boat, hidden beneath the stairs, to receive a key item: Antique Automaton.