Written guide:
Almost every Levemete has an escort quest. Some of them are really close to the Levemete, and can be done very quickly if you just ignore the creatures, and spam /beckon. The one in particular that I'm speaking of is in Mor Dhona at Saint Coinach's Find. The quest is called "One of Our Naturalists Is Missing". It's pretty simple. You pick up 2 of the Levequests you see at the Levemete, and then you abandon one and hold the other. This way, the One of Our Naturalists Is Missing quest is ALWAYS available immediately after you complete it. Pick up the quest, set it to max difficulty, and make a macro to spam /beckon. Never stop to hit anything, just drag him through. I was able to do it in around 75-80 seconds every time. On occasion, chests show up and you can get some pink gear that can either be used, or converted into seals in the Grand Company. You can do this to any of them, but this is my personal favorite. Requires a lot of Leve allowances, but personally I have 100 of them, so it's great for me to grind from 48 to 50.