How much ice do you use, are you opposed to using ice trays? Keep in mind most ( perhaps not all ) of the portable ice makers do just that, they make ice, but do not keep it. You have to remove it and put it in a freezer if you want to save the ice. it does make ice faster than ice trays, and you can make a large batch of ice in a few hours. My wife bought us one and we have used it a couple of time.
They don't cost much, but do take room to store and counter space to operate. For me, buying a small bag of ice when needed is a better idea.