Best Job / Class for AoE Killing lvl 45+ Mobs

[Zell]

Ok, from 1.0 i've brought all classes to 50 except for Arcanist.

I want to take my chocobo buddy to lvl 10 buy grinding on Lvl 45+ Beastmen.

Currently, I have warrior in full darklight. (relic)
I have 6 pieces of Demagogue set from AK for BLM. (i60 weapon)
I have 6 pieces of Toxates gear for Bard from AK. (i60 weapon)
I have 6 pieces of Stratagos gear for WHM/Sch. (i60 weapon)

For the healing classes I would be in cleric stance spamming Holy or spreading dots with Bane. Scholar is work in progress....so is summoner.... so which would you choose... Warrior, Bard, BLM, or WHM? I have Monk/Dragoon as well but my gear isn't great... only 4-5 pieces from AK. Dragoon has i70 weapon and monk has i60.

I've already put a few points into the healing tree for Choco.

My question is, based on class/job design and my current level of gear, which is the FASTEST way to kill multiple mobs for Chocobo leveling?

Please take into account survivability, downtime, etc. For example, as a warrior, Downtime is NONE. And I have self healing. Are any other classes faster than warrior, since Warrior's AOE (steel cyclone/overpower) not too great on damage.

Thanks in advance...


Edit: Is going as a Class better than a job for grinding purposes?