Hey Ownedcore i know there have been numerous guides on bodyguard rep grinds to date, But while doing the daily The Pit i have come accross the means to do it 10xfaster
Next you're going to need to farm up the Ammo packs you see laying around in crates in order to use the following: Bombardment Signal Flare - NPC - World of Warcraft
When launched into the crowd of NPC at the very bottem of the pit it will INSTA kill them and you can watch your Rep grow really fast when you start to come to a completion of the Pit daily simply drop the quest go back to your garrison and pick it back up rinse and repeat. Doing this solo you can farm the pit for Bodyguard rep for long pierods of time.
I hope you have enjoyed this. I don't think blizzard intended to farm rep this way, as the mobs respawn pretty quickly in the pit.