Real-Life Decision Making -- Solution
You try to change your procedure in a way that takes the family's feelings into account.
This is the real-life decision that Ben Best would make in a similar situation.
"How you deal with the family depends on the situation," says Best, head of the Cryonics Society. "Sometimes, when they're really upset there's no way to deal with them. But we try to include the family as much as possible."
In this case, it's obvious that while the family clearly disapproves of cryonics, much of the unpleasantness could have been avoided if the man had told them sooner. You can empathize with their feelings. Instead of this being a private family matter, they're surrounded by strangers and equipment.
You sit down with the family. You tell them that the man has clearly indicated his wish to be frozen. However, you don't want to intrude on their grief.
You offer to remove as much of the equipment from the house as you can. Also, you tell them that just one member of the team will stay in the house with the equipment during the man's final days. The rest of you will stay in a hotel until the time comes for him to be frozen.
The family is still unhappy, but they accept the inevitable. By considering their needs, you've made an unpleasant situation a little more bearable.