Wouldn't be nice if they only made 10,000 of them, and sold an unlimited number of lottery tickets, where the 10,000 prizes would be an option to buy the coin for $2,000 or maybe even more?
Say pay $20 for your lottery ticket, and the $20 would to go to charity.
If your number comes up, you have the option to buy the coin for $2,000 (or whatever price was fixed), or sell option back to the mint at a fixed price of $2,000 ONLY, (or whatever).
The Mint would sell those relinquished optioned coins at public auction, and money realised over $2,000 (or whatever), would also go to charity.
I feel fairly certain that few would complain of the high lottery ticket price, if the buyer knew that all the $20, less Mint administration costs, is to go to charity.
I also feel fairly certain that lots of lottery tickets would be sold, if they knew for instance, that the money was to go to war veterans or their families, or some other established charity of National interest.
The Royal Australian Mint has already sold balloted coins for some years, but a charity was not involved.