If you want a lightweight, durable, and effective way to store ice during your travels, then consider getting a soft cooler bag. These come in different designs so you can pick whatever feels right for your upcoming trip.
Those who are planning to bring dozens of cold beer cans to the beachfront might want to consider a bag with wheels at the bottom. This would allow them to roll the bag with ease wherever they wish to set it up.
There are also options styled like a messenger bag with a wide shoulder strap. These vary in capacity from less than 10 to about 30 cans. They tend to hand a handle on top as an alternative if your shoulders get sore.
If you are on a hike and you would rather have your hands free, then try a backpack cooler. This will keep you balanced with two straps for the shoulders.