Is there something you raise to increase chances of not getting feared? If not, should make being intoxicated helps to increase the chance of not being feared. Think about it, if your drunk your fearless.
There are fear resistance AAs. Some classes even go fear immune to these. SK, for example, is immune to fear.
Bards have a fear immunity song too. The Crystalline Tyronant raid unlocks Rk. III, which shaves an entire minute off the recast. It only helps if you know when the fear is coming though, but for example two bards with Rk. III can protect a group indefinitely from the TBM PoFear dracoliche's fear. The same event also unlocks Rk. III Twincast. At 120 the hardest thing about that event is getting enough people there for the extremely picky proximity-based trigger to start the event.