Generally I've found BYOH doesn't just mean bring your own healing, but a requirement for general self-sufficiency as well. Many of my heal-capable characters would avoid them due to this.
Other tags you can sometimes see are:
"Blue bar only" or "Casters only" - often during events like crystal cove or Mabar due to the advantages they have there.
s/r/e - Slayer/Rares/Explorer used for wilderness areas. Often to distinguish from running the quests in those areas.
"Walk-ups" or "side quests".
"2/5" or similar indicating that the group is on a certain quest in a chain.