Should have rolled a I-Can-Solo-Just-About-Anything Job (aka. Smn). Jk. I can definitely see how these fights could be difficult for some jobs, the mobs have a pretty decent hp pool and can do a good bit of dmg.

Always use your chocobo. If neither you or your bird are healers well.. better stack up on something that can decently heal you or avoid that explosive attack.

I don't know what variety the monsters are, so far both times I've done my maps I had to fight Bombasts, which are basically just bombs. They do get larger as you deal damage to them and eventually explode at a certain point and rinse and repeat.

As a Smn, these are cake. My titan loses maybe a quarter of his hp at most before it's dead.