I have contemplated a card game of similar setup, where you draw ten random relative cards, and a card for a category (like "most education" or "military" or "largest family" or "most interesting job", etc.). Each person then has to examine their hand of relatives and pick the one that has the best chance to "win" that category, and argue for their choice.
Card design would be the hardest part though, better suited if we could access the profiles on phones or something.