Sorry this is late, but this took a bit of time. I used a save state near the door of the ice room so it would be quicker to get to. There really isn't much of a strategy to it except to try to keep him enclosed in that area in the corner. I had him there until he broke free at about half health but i managed to follow his movements well with the control stick and got lucky. The ice is the only reason why it's so hard to get him. Take that away and he wouldn't be bad at all. He'd be shaky but at least the floor wouldn't effect your movement. You have to fight both for him.
How do you do it ?!!
Sorry this is late, but this took a bit of time. I used a save state near the door of the ice room so it would be quicker to get to. There really isn't much of a strategy to it except to try to keep him enclosed in that area in the corner. I had him there until he broke free at about half health but i managed to follow his movements well with the control stick and got lucky. The ice is the only reason why it's so hard to get him. Take that away and he wouldn't be bad at all. He'd be shaky but at least the floor wouldn't effect your movement. You have to fight both for him.
Small luigi.