Jus as a QOL thing, would it be possible to put in some sort of trigger mechanism for these FATEs used in the bEast tribe tasks ("What a Boar" as an example)?

Make the trigger mechanism be appropriate to the FATE, but when triggered in this manner (as opposed to the FATE spawning normally) make the only reward the hand in item for the Beast Tribe quest. No exp, no GC Seals, nothing but the hand in token.