Wet rag + movie = 700 saved rounds.
Really shouldn't be a problem to wipe them twice during a rental movie and have enough time to smear on some bullet lube if you are inclined to worry about the loss of the "wax" coating. Shoot, if the movie was being shown on TV, you could likely complete the process during the commercial breaks.
I cannot imagine trashing the rounds because they got muddy. If you don’t want to mess with the mess, then find a kid and give them to him for plinking. He will think you’re a great guy!
A lack of planning on your part does not necessarily constitute an emergency on my part.