Hmmm. This is a toughie, actually. You can't really do Monster Hunter's gameplay loop justice on tabletop, but you can probably create something that feels like the MonHun lore and cutscenes, all equipment and guile and laying of traps and such.

You know what, I'm thinking Genesys might be an option? Since it was born from a Star Wars game, it has a lot of hooks for equipment, and equipment modification and tuning, and you can tune talents to let people sort of specialize their hunters to become better at different stuff (say, someone might be a better tracker, while another gets pluses with status, stuff like that) while letting everyone have a similar set of core competences. Course, with Genesys being a generic chassis, kinda like a crunchier, less narrative version of FATE, it would involve a ton of work!