If you win a gold meal the us pays the athlete something lie 250k. I think they can handle paying 10k for the value of the medal. Its no differen if you are on a game show and win prizes.
Id also imagine all expenses are taken care of. We the people foot the bill for the whole thing.
Can you give us one of those kinky, citey things for those assertions on "we the people" footing their expenses and the US paying $250K to Gold Medal winners?