Hunting had also the function of military training, maybe in the game it could be used to level-up combat skills, thus making it more attractive, although not funner. Just like we normally fight the bandits for xp and money, hunting animals could give more xp and less money, so adds some variety.
As for the hunting event hosted by noble houses, it may could be implemented as sort of events chain, starting from say the monarch invites vassals to assemble at certain hunting area. Then the participating nobles claim or are assigned different roles, e.g. lead the scouts, company the king, coordinate hunting teams, command one hunting team, and stuff, their level of corresponding skills will make impacts on the hunting process.
And then come several story branches, including various accidents, such as a conspiracious ambush against VIP, initiating a small scaled battle in civilian outfits. Or the scouts find an exordinary game, which if you managed to kill (perhaps by a skills check plus some RNG), will grant you a special bounty(sadly, we don't have such things yet in Bannerlord). If the hunt ends successfully, everyone participated could gains a few skill levels, determined by their roles, and some relation improvements.