From my experience on my 3rd alt going through Eureka once again, I found the fastest and fun way to do the mob grind. Make sure to pop a harmony potion, get an elemental blessing if you can find one, be a warrior and grab a buddy who's also a warrior and just go to town on every mob to fill your logs. Pull as much as you think you can handle due to how OP Warrior's self healing is, I was able to breeze every weeks logs in under a hour and a half with a friend.