After all, you can morally giveaway money you own, not someone else's money (which would be like robbing a bank to give money to AIDS support group).
Haven't you already decided to steal money that isn't yours?
Instead of giving away money that isn't yours, you're talking about keeping money that isn't yours, and apparently attempting to prove it's no worse morally than some other options.
These weird situations come up occasionally IRL. Most jurisdictions have legal ways of dealing with those situations.
In the jurisdiction I'm in, donating the money to charity was the only way to disband a group I was part of that didn't involve a lot of legal paperwork (and more money than was left in the group's bank account).
Good luck with your game of Moral Twister.