This is what I do for my portable Mr. Heater --
Get a milk crate and cut it down to about 3 inches high. The heater fits perfectly inside the crate. Then when you're on the ice you flip the crate over and set the heater on the bottom of the crate. Keeps it up off the ice, nothing melts bottom stays cool and doesn't get wet.
You can also cut the side a little more where the propane bottle hangs and then you can leave the bottle on the heater.