The only "Job" with access to Cure or Physik are BLM,WHM,SMN,SCH, and PLD, Out of those Jobs none of the DPS should be very far from you. The other DPS which will be far from you only have access to Second Wind and Bloodbath, neither is reliable for every bit of damage that happens.

Most healers dump a bunch of heals on me before I can even pop second wind and they manage to heal the tank and anyone else who needs it fine. If you can't deviate heals while everyone else does their jobs that they are supposed to do. Maybe healing is too stressful for you.