Legacy Raid: Ulduar - Battletanks aggro from across the map during Flame Leviathan

Everytime I farm Ulduar (that damned mount never drops), I run straight to Flame Leviathan, but starting that encounter will aggro the battletanks from way back. Even if I Feign Death before I start the fight (I dismiss my pet before running through that first field of enemies), once that fight starts, I can’t loot the loot box until the FD cooldown comes up and I can get out of combat. Then, after I loot the box, sometimes the battletanks will still randomly aggro, so I can’t mount up and run to the Deconstructor encounter.