What our ls does:
Set up just outside the canyon mouth to BD (like the above pic).
Have the guy that gets anteus off the saccer run THRU the camp toward BD, and have the vokers pull him when he's in the right spot (as mentioned, you voke him out of melee range, he spams you with trebuchet).
Have the blms start with III's then do something like an ES blizzaga and unload mp around 50-60%.
Have every mage just outside of 20 distance in an arc around antaeus (again, try to have about 5 units between mages to lessen aoe if he takes potshots at somebody).

Instead of the convoluted plan involving moving entire melee groups and mage groups, you can set up the above completely except for the saccer and puller prior to pulling. Just make sure you voke him in the right place (ie, when he's in the middle of the melees, not before/after when he'll own you with rocks).