As you may recall, through much experimentation I figured out a way to make clear ice at home.
I later found an ice cube tray that uses the same principle (controlling direction of freezing) to make clear ice.
And now someone just pointed me to another ice cube tray that also uses the same principle (and has the same name as the last one). The Polar Ice Crystal Clear Ice Cube Tray is more compact than the other model, but it makes just one big cube at a time.
Like the other model, this is an insulated container with a tray inside. The interior tray is perforated, so all the cloudy parts of the ice are frozen beneath the perforation and you chop it off after it's frozen.
This one costs $18.99. More info is here.