I don't know if you're willing, but (and I know there may be some people in the game that call me a heretic for bringing this up) what about maybe like an Academy type setup?  Something both families actually managed to agree and chip in equally to have built FOR the Duelists so they're not terrorizing the country with their duels?  And each house has their own dorm and everything?  Don't know if that'll go well, but it's a thought?