"All told, the nuclear reactors in the U.S. produce more than 2,000 metric tons of radioactive waste a year..." (https://www.scientificamerican.com/article/nuclear-waste-let...)
Let's call it $20,000 / lb to orbit (http://www.businessinsider.com/spacex-rocket-cargo-price-by-...) and say double that for the "disappear into the distance" part.
That gives us $160B to loft the US's nuclear waste for one year into not-my-problem-ness.
That doesn't sound unreasonable, right?
P.S. Don't drop it.