ilovemycam has ignored this before, but those of you listening in the audience may be interested:
Any credible museum is offered Stuff constantly. Any credible museum will have, several times a year at least a conversation with a substantial donor who is offering them 6 figures or more along with a donation of some rubbish. Their daughter's paintings, their friend's photographs. Any credible museum will turn these things down 100 percent of the time.
If you offer a museum $250,000 and a Picasso, they may well turn you down if the Picasso does not fit in with their curatorial vision, unless you're willing to let them sell or trade the Picasso away.
Why is this? Because a museum literally is it's curatorial vision. Without curatorial integrity, you haven't got a museum, you've just got a pile of stuff.
Art museums get all kinds of crap sent to them unsolicited, despite for the most part having a stated policy of "do not send us stuff". They pretty much throw it all out. It's frustrating, because it burns staff time, and it takes up dumpster space. If you're tempted to try out ilovemycam's plan, do a little research first. It took me about 1 minute of googling to turn up a half a dozen articles on this issue, and the rest of the links on the first page of results were links to various museum's "please don't mail us ****" statements.