Fastest DPS to quest with

[Sandpark]

Samurai is the highest individual DPS right now in the game followed by Monk and Red Mage.
I won't recommand Monk because you have to do positionnals to output the best dps possible. Won't recommand Black Mage either cause he's a turret, need to move and lack of self heal, even though he has a barrier.
Samurai sounds like a good option.

Otherwise, Red Mage is a good option. Not the very best dps but easiest rotation to learn, very good damages, mitigation and self heal.
Probably one of the best dps to do solo content.

Yeah... It sucks not having a good self heal on most other DPS. Makes anything solo a chore